The question asks us to identify the number pair from the given options that follows the same mathematical relationship as the example pairs. The rule specifies that operations must be performed on the whole number, not its digits.

Analyzing Example Number Pairs

Let's examine the relationship between the numbers in the provided examples:

• Pair 1: 34, 136

  We check for a simple multiplication:

  $34 \times 4 = 136$

  The second number is 4 times the first number.

• Pair 2: 53, 212

  Applying the same potential rule (multiplying by 4):

  $53 \times 4 = 212$

  This pair also follows the rule: Second Number = First Number $\times 4$.

The established mathematical operation is multiplying the first number by 4 to get the second number.

Option Analysis with the Operation ( x 4 )

Now, we apply this rule ($ \text{Second Number} = \text{First Number} \times 4 $) to each option:

1. Option 1: 72, 288

   Calculate:

   $72 \times 4 = 288$

   This option matches the rule.

2. Option 2: 66, 248

   Calculate:

   $66 \times 4 = 264$

   The result (264) does not match the given second number (248). This option is incorrect.

3. Option 3: 32, 114

   Calculate:

   $32 \times 4 = 128$

   The result (128) does not match the given second number (114). This option is incorrect.

4. Option 4: 59, 229

   Calculate:

   $59 \times 4 = 236$

   The result (236) does not match the given second number (229). This option is incorrect.

Conclusion

The number pair 72, 288 is the only option where the second number is obtained by multiplying the first number by 4, consistent with the relationship shown in the example pairs.