If \( G_{1} \) and \( G_{2} \) are two geometric means and \( A \) ...
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If \( G_{1} \) and \( G_{2} \) are two geometric means and \( A \) is the arithmetic mean inserted between two positive numbers \( a \) and \( b \) then the value of \( \frac{G_{1}^{2}}{G_{2}}+\frac{G_{2}^{2}}{G_{1}} \) is
(a) \( A \)
(b) \( 2 A \)
(c) \( A / 2 \)
(d) \( 3 A / 2 \)
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