Question : Find the third proportion to 14 and 56.
Option 1: 220
Option 2: 218
Option 3: 212
Option 4: 224
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Correct Answer: 224
Solution : Let the third proportion be $x$. According to the question, $14:56::56:x$ ⇒ $\frac{14}{56}=\frac{56}{x}$ ⇒ $x=\frac{56×56}{14}$ ⇒ $x=224$ Hence, the correct answer is 224.
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Question : If the third proportion to 10 and X is 90 and the third proportion of 12 and Y is 27. Find the value of (X + Y).
Option 1: 56
Option 2: 44
Option 3: 48
Option 4: 50
Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.
Option 1: 7 : 9
Option 2: 4 : 5
Option 3: 3 : 7
Option 4: 9 : 4
Question : Find the fourth proportion to 21, 49, and 18.
Option 1: 42
Option 2: 56
Option 3: 49
Option 4: 44
Question : Find the third proportion of two numbers 6 and 24.
Option 1: 94
Option 2: 84
Option 3: 96
Option 4: 86
Question : Directions: In the following question, select the missing number of the given series. 110, 131, 153, 176, 200, ?
Option 3: 224
Option 4: 225
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