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Finding the Third Proportional to 52,102 and 80,727

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Solution

The third proportional to 52,102 and 80,727 is: 125,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102 : 80,727 = 80,727 : x
  2. Step 2: Convert to fraction form
    52,102/80,727 = 80,727/x
  3. Step 3: Cross multiply
    52,102x = 80,727 × 80,727
  4. Step 4: Simplify right side
    52,102x = 6,516,848,529
  5. Step 5: Solve for x
    x = 6,516,848,529/52,102
  6. Step 6: Final answer
    x = 125,078.66

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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.