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Finding the Third Proportional to 83,027 and 129,725

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Solution

The third proportional to 83,027 and 129,725 is: 202,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027 : 129,725 = 129,725 : x
  2. Step 2: Convert to fraction form
    83,027/129,725 = 129,725/x
  3. Step 3: Cross multiply
    83,027x = 129,725 × 129,725
  4. Step 4: Simplify right side
    83,027x = 16,828,575,625
  5. Step 5: Solve for x
    x = 16,828,575,625/83,027
  6. Step 6: Final answer
    x = 202,687.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.