Finding the Third Proportional to 77,032 and 103,962
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Solution
The third proportional to 77,032 and 103,962 is: 140,306.59
Step by Step Solution
- Step 1: Write the proportion equation
77,032 : 103,962 = 103,962 : x - Step 2: Convert to fraction form
77,032/103,962 = 103,962/x - Step 3: Cross multiply
77,032x = 103,962 × 103,962 - Step 4: Simplify right side
77,032x = 10,808,097,444 - Step 5: Solve for x
x = 10,808,097,444/77,032 - Step 6: Final answer
x = 140,306.59
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.