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Finding the Third Proportional to 20,123 and 43,327

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Solution

The third proportional to 20,123 and 43,327 is: 93,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123 : 43,327 = 43,327 : x
  2. Step 2: Convert to fraction form
    20,123/43,327 = 43,327/x
  3. Step 3: Cross multiply
    20,123x = 43,327 × 43,327
  4. Step 4: Simplify right side
    20,123x = 1,877,228,929
  5. Step 5: Solve for x
    x = 1,877,228,929/20,123
  6. Step 6: Final answer
    x = 93,287.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.