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Finding the Third Proportional to 52,750 and 82,923

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Solution

The third proportional to 52,750 and 82,923 is: 130,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750 : 82,923 = 82,923 : x
  2. Step 2: Convert to fraction form
    52,750/82,923 = 82,923/x
  3. Step 3: Cross multiply
    52,750x = 82,923 × 82,923
  4. Step 4: Simplify right side
    52,750x = 6,876,223,929
  5. Step 5: Solve for x
    x = 6,876,223,929/52,750
  6. Step 6: Final answer
    x = 130,354.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.