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Finding the Third Proportional to 83,531.25 and 129,488.63

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Solution

The third proportional to 83,531.25 and 129,488.63 is: 200,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531.25 : 129,488.63 = 129,488.63 : x
  2. Step 2: Convert to fraction form
    83,531.25/129,488.63 = 129,488.63/x
  3. Step 3: Cross multiply
    83,531.25x = 129,488.63 × 129,488.63
  4. Step 4: Simplify right side
    83,531.25x = 16,767,304,004.39
  5. Step 5: Solve for x
    x = 16,767,304,004.39/83,531.25
  6. Step 6: Final answer
    x = 200,730.91

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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.