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Finding the Third Proportional to 52,113 and 80,744

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Solution

The third proportional to 52,113 and 80,744 is: 125,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113 : 80,744 = 80,744 : x
  2. Step 2: Convert to fraction form
    52,113/80,744 = 80,744/x
  3. Step 3: Cross multiply
    52,113x = 80,744 × 80,744
  4. Step 4: Simplify right side
    52,113x = 6,519,593,536
  5. Step 5: Solve for x
    x = 6,519,593,536/52,113
  6. Step 6: Final answer
    x = 125,104.94

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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.