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Finding the Third Proportional to 38,062 and 80,227

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Solution

The third proportional to 38,062 and 80,227 is: 169,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,062 : 80,227 = 80,227 : x
  2. Step 2: Convert to fraction form
    38,062/80,227 = 80,227/x
  3. Step 3: Cross multiply
    38,062x = 80,227 × 80,227
  4. Step 4: Simplify right side
    38,062x = 6,436,371,529
  5. Step 5: Solve for x
    x = 6,436,371,529/38,062
  6. Step 6: Final answer
    x = 169,102.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.