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Finding the Third Proportional to 52,802 and 107,439

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Solution

The third proportional to 52,802 and 107,439 is: 218,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,802 : 107,439 = 107,439 : x
  2. Step 2: Convert to fraction form
    52,802/107,439 = 107,439/x
  3. Step 3: Cross multiply
    52,802x = 107,439 × 107,439
  4. Step 4: Simplify right side
    52,802x = 11,543,138,721
  5. Step 5: Solve for x
    x = 11,543,138,721/52,802
  6. Step 6: Final answer
    x = 218,611.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.