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Finding the Third Proportional to 83,678 and 125,703

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Solution

The third proportional to 83,678 and 125,703 is: 188,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678 : 125,703 = 125,703 : x
  2. Step 2: Convert to fraction form
    83,678/125,703 = 125,703/x
  3. Step 3: Cross multiply
    83,678x = 125,703 × 125,703
  4. Step 4: Simplify right side
    83,678x = 15,801,244,209
  5. Step 5: Solve for x
    x = 15,801,244,209/83,678
  6. Step 6: Final answer
    x = 188,833.91

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