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Finding the Third Proportional to 83,352.38 and 129,259.13

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Solution

The third proportional to 83,352.38 and 129,259.13 is: 200,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,352.38 : 129,259.13 = 129,259.13 : x
  2. Step 2: Convert to fraction form
    83,352.38/129,259.13 = 129,259.13/x
  3. Step 3: Cross multiply
    83,352.38x = 129,259.13 × 129,259.13
  4. Step 4: Simplify right side
    83,352.38x = 16,707,921,395.77
  5. Step 5: Solve for x
    x = 16,707,921,395.77/83,352.38
  6. Step 6: Final answer
    x = 200,449.25

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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.