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Finding the Third Proportional to 83,565.75 and 129,451.31

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Solution

The third proportional to 83,565.75 and 129,451.31 is: 200,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.75 : 129,451.31 = 129,451.31 : x
  2. Step 2: Convert to fraction form
    83,565.75/129,451.31 = 129,451.31/x
  3. Step 3: Cross multiply
    83,565.75x = 129,451.31 × 129,451.31
  4. Step 4: Simplify right side
    83,565.75x = 16,757,642,307.97
  5. Step 5: Solve for x
    x = 16,757,642,307.97/83,565.75
  6. Step 6: Final answer
    x = 200,532.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.