Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
8:67 :: 10:103 :: 17:?

​8:67 :: 10:103 :: 17:?

The second number is derived using the formula:

First number = 8 8

second number = $$8^2 + 3 = 64+3=67$$
Second Pair (10:103)

First number  = 10 

Second number = $$10^2+3=100+3=103$$

First number = 17

Second number = $$17^2+ 3=289+3=292$$

​​The number related to 17 is 292

Thus, correct answer is (b)