Finding the Third Proportional to 53,091 and 82,863
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Solution
The third proportional to 53,091 and 82,863 is: 129,330.33
Step by Step Solution
- Step 1: Write the proportion equation
53,091 : 82,863 = 82,863 : x - Step 2: Convert to fraction form
53,091/82,863 = 82,863/x - Step 3: Cross multiply
53,091x = 82,863 × 82,863 - Step 4: Simplify right side
53,091x = 6,866,276,769 - Step 5: Solve for x
x = 6,866,276,769/53,091 - Step 6: Final answer
x = 129,330.33
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.