Finding the Third Proportional to 56,514 and 83,039
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Solution
The third proportional to 56,514 and 83,039 is: 122,013.58
Step by Step Solution
- Step 1: Write the proportion equation
56,514 : 83,039 = 83,039 : x - Step 2: Convert to fraction form
56,514/83,039 = 83,039/x - Step 3: Cross multiply
56,514x = 83,039 × 83,039 - Step 4: Simplify right side
56,514x = 6,895,475,521 - Step 5: Solve for x
x = 6,895,475,521/56,514 - Step 6: Final answer
x = 122,013.58
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.