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Finding the Third Proportional to 80,911 and 125,626

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Solution

The third proportional to 80,911 and 125,626 is: 195,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,911 : 125,626 = 125,626 : x
  2. Step 2: Convert to fraction form
    80,911/125,626 = 125,626/x
  3. Step 3: Cross multiply
    80,911x = 125,626 × 125,626
  4. Step 4: Simplify right side
    80,911x = 15,781,891,876
  5. Step 5: Solve for x
    x = 15,781,891,876/80,911
  6. Step 6: Final answer
    x = 195,052.49

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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.