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Finding the Third Proportional to 83,127 and 125,564

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Solution

The third proportional to 83,127 and 125,564 is: 189,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127 : 125,564 = 125,564 : x
  2. Step 2: Convert to fraction form
    83,127/125,564 = 125,564/x
  3. Step 3: Cross multiply
    83,127x = 125,564 × 125,564
  4. Step 4: Simplify right side
    83,127x = 15,766,318,096
  5. Step 5: Solve for x
    x = 15,766,318,096/83,127
  6. Step 6: Final answer
    x = 189,665.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.