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Finding the Third Proportional to 52,132 and 80,742

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Solution

The third proportional to 52,132 and 80,742 is: 125,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132 : 80,742 = 80,742 : x
  2. Step 2: Convert to fraction form
    52,132/80,742 = 80,742/x
  3. Step 3: Cross multiply
    52,132x = 80,742 × 80,742
  4. Step 4: Simplify right side
    52,132x = 6,519,270,564
  5. Step 5: Solve for x
    x = 6,519,270,564/52,132
  6. Step 6: Final answer
    x = 125,053.15

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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.