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Finding the Third Proportional to 52,115 and 80,747

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Solution

The third proportional to 52,115 and 80,747 is: 125,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115 : 80,747 = 80,747 : x
  2. Step 2: Convert to fraction form
    52,115/80,747 = 80,747/x
  3. Step 3: Cross multiply
    52,115x = 80,747 × 80,747
  4. Step 4: Simplify right side
    52,115x = 6,520,078,009
  5. Step 5: Solve for x
    x = 6,520,078,009/52,115
  6. Step 6: Final answer
    x = 125,109.43

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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.