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Finding the Third Proportional to 83,658 and 125,672

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Solution

The third proportional to 83,658 and 125,672 is: 188,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,658 : 125,672 = 125,672 : x
  2. Step 2: Convert to fraction form
    83,658/125,672 = 125,672/x
  3. Step 3: Cross multiply
    83,658x = 125,672 × 125,672
  4. Step 4: Simplify right side
    83,658x = 15,793,451,584
  5. Step 5: Solve for x
    x = 15,793,451,584/83,658
  6. Step 6: Final answer
    x = 188,785.91

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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.