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Finding the Third Proportional to 80,920 and 125,648

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Solution

The third proportional to 80,920 and 125,648 is: 195,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,920 : 125,648 = 125,648 : x
  2. Step 2: Convert to fraction form
    80,920/125,648 = 125,648/x
  3. Step 3: Cross multiply
    80,920x = 125,648 × 125,648
  4. Step 4: Simplify right side
    80,920x = 15,787,419,904
  5. Step 5: Solve for x
    x = 15,787,419,904/80,920
  6. Step 6: Final answer
    x = 195,099.11

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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.