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Finding the Third Proportional to 80,644 and 125,382

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Solution

The third proportional to 80,644 and 125,382 is: 194,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644 : 125,382 = 125,382 : x
  2. Step 2: Convert to fraction form
    80,644/125,382 = 125,382/x
  3. Step 3: Cross multiply
    80,644x = 125,382 × 125,382
  4. Step 4: Simplify right side
    80,644x = 15,720,645,924
  5. Step 5: Solve for x
    x = 15,720,645,924/80,644
  6. Step 6: Final answer
    x = 194,938.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.