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Finding the Third Proportional to 52,103 and 80,729

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Solution

The third proportional to 52,103 and 80,729 is: 125,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103 : 80,729 = 80,729 : x
  2. Step 2: Convert to fraction form
    52,103/80,729 = 80,729/x
  3. Step 3: Cross multiply
    52,103x = 80,729 × 80,729
  4. Step 4: Simplify right side
    52,103x = 6,517,171,441
  5. Step 5: Solve for x
    x = 6,517,171,441/52,103
  6. Step 6: Final answer
    x = 125,082.46

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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.