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Finding the Third Proportional to 83,437.59 and 129,435.47

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Solution

The third proportional to 83,437.59 and 129,435.47 is: 200,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,437.59 : 129,435.47 = 129,435.47 : x
  2. Step 2: Convert to fraction form
    83,437.59/129,435.47 = 129,435.47/x
  3. Step 3: Cross multiply
    83,437.59x = 129,435.47 × 129,435.47
  4. Step 4: Simplify right side
    83,437.59x = 16,753,540,570.53
  5. Step 5: Solve for x
    x = 16,753,540,570.53/83,437.59
  6. Step 6: Final answer
    x = 200,791.27

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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.