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Finding the Third Proportional to 83,668 and 125,687

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Solution

The third proportional to 83,668 and 125,687 is: 188,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668 : 125,687 = 125,687 : x
  2. Step 2: Convert to fraction form
    83,668/125,687 = 125,687/x
  3. Step 3: Cross multiply
    83,668x = 125,687 × 125,687
  4. Step 4: Simplify right side
    83,668x = 15,797,221,969
  5. Step 5: Solve for x
    x = 15,797,221,969/83,668
  6. Step 6: Final answer
    x = 188,808.41

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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.