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Finding the Third Proportional to 52,114 and 80,723

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Solution

The third proportional to 52,114 and 80,723 is: 125,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114 : 80,723 = 80,723 : x
  2. Step 2: Convert to fraction form
    52,114/80,723 = 80,723/x
  3. Step 3: Cross multiply
    52,114x = 80,723 × 80,723
  4. Step 4: Simplify right side
    52,114x = 6,516,202,729
  5. Step 5: Solve for x
    x = 6,516,202,729/52,114
  6. Step 6: Final answer
    x = 125,037.47

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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.