Finding the Third Proportional to 51,856 and 80,080
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Solution
The third proportional to 51,856 and 80,080 is: 123,665.66
Step by Step Solution
- Step 1: Write the proportion equation
51,856 : 80,080 = 80,080 : x - Step 2: Convert to fraction form
51,856/80,080 = 80,080/x - Step 3: Cross multiply
51,856x = 80,080 × 80,080 - Step 4: Simplify right side
51,856x = 6,412,806,400 - Step 5: Solve for x
x = 6,412,806,400/51,856 - Step 6: Final answer
x = 123,665.66
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.