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Finding the Third Proportional to 83,662 and 125,678

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Solution

The third proportional to 83,662 and 125,678 is: 188,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662 : 125,678 = 125,678 : x
  2. Step 2: Convert to fraction form
    83,662/125,678 = 125,678/x
  3. Step 3: Cross multiply
    83,662x = 125,678 × 125,678
  4. Step 4: Simplify right side
    83,662x = 15,794,959,684
  5. Step 5: Solve for x
    x = 15,794,959,684/83,662
  6. Step 6: Final answer
    x = 188,794.91

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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.