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Finding the Third Proportional to 83,568 and 125,514

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Solution

The third proportional to 83,568 and 125,514 is: 188,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568 : 125,514 = 125,514 : x
  2. Step 2: Convert to fraction form
    83,568/125,514 = 125,514/x
  3. Step 3: Cross multiply
    83,568x = 125,514 × 125,514
  4. Step 4: Simplify right side
    83,568x = 15,753,764,196
  5. Step 5: Solve for x
    x = 15,753,764,196/83,568
  6. Step 6: Final answer
    x = 188,514.31

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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.