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Finding the Third Proportional to 83,658 and 125,674

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Solution

The third proportional to 83,658 and 125,674 is: 188,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,658 : 125,674 = 125,674 : x
  2. Step 2: Convert to fraction form
    83,658/125,674 = 125,674/x
  3. Step 3: Cross multiply
    83,658x = 125,674 × 125,674
  4. Step 4: Simplify right side
    83,658x = 15,793,954,276
  5. Step 5: Solve for x
    x = 15,793,954,276/83,658
  6. Step 6: Final answer
    x = 188,791.92

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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.