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Finding the Third Proportional to 106,227 and 159,588

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Solution

The third proportional to 106,227 and 159,588 is: 239,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227 : 159,588 = 159,588 : x
  2. Step 2: Convert to fraction form
    106,227/159,588 = 159,588/x
  3. Step 3: Cross multiply
    106,227x = 159,588 × 159,588
  4. Step 4: Simplify right side
    106,227x = 25,468,329,744
  5. Step 5: Solve for x
    x = 25,468,329,744/106,227
  6. Step 6: Final answer
    x = 239,753.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.