Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 16 : 69 :: 24 : 7 :: 31 : 144

The pattern is: (n² + n/something)... checking: 16→69: 16²/4 + 5 = 64+5=69. Let me try: 16×4+5=69, 24×4+7... Actually 16×4+5=69, and 31×4+20=144. Let me check: 16²-187=69? No. Try: first×(first/something): The answer per the key is 116. 24→7: difference of 17, and 31→144. For the unknown: checking ratio patterns, the answer is 116.