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Find the mean proportional between 169 and 121.
Question

Find the mean proportional between 169 and 121.

A.

179

B.

143

C.

147

D.

165

Correct option is B

Given:
Two numbers: 121 and 169.
Concept: Used:
The mean proportional or geometric mean of two numbers a and b is given by the formula: (a×b)\sqrt{(a × b)}​​
Solution:
Mean proportional =121×169 \sqrt{121 \times 169} ​​

Mean proportional = 112×132\sqrt{11^2 \times 13^2} ​​

Mean proportional = 11 × 13

Mean proportional = 143
Therefore, the mean proportional between 121 and 169 is 143.

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