If 125 : y :: y : 180, find the positive value of y.

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  1. 150
  2. 148
  3. 145
  4. 158

Answer (Detailed Solution Below)

Option 1 : 150
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Detailed Solution

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Given:

125 : y :: y : 180

Formula Used:

In proportion, a : b :: c : d is equivalent to a × d = b × c .

Calculation:

Using the formula:

125 : y :: y : 180

⇒ 125 × 180 = y × y

⇒ y2 = 125 × 180

⇒ y2 = 22500

⇒ y = √22500

⇒ y = 150

The positive value of y is 150.

The correct answer is option 1.

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