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Finding the Third Proportional to 83,081 and 124,725

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Solution

The third proportional to 83,081 and 124,725 is: 187,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,081 : 124,725 = 124,725 : x
  2. Step 2: Convert to fraction form
    83,081/124,725 = 124,725/x
  3. Step 3: Cross multiply
    83,081x = 124,725 × 124,725
  4. Step 4: Simplify right side
    83,081x = 15,556,325,625
  5. Step 5: Solve for x
    x = 15,556,325,625/83,081
  6. Step 6: Final answer
    x = 187,242.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.