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Finding the Third Proportional to 69,132 and 161,885

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Solution

The third proportional to 69,132 and 161,885 is: 379,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,132 : 161,885 = 161,885 : x
  2. Step 2: Convert to fraction form
    69,132/161,885 = 161,885/x
  3. Step 3: Cross multiply
    69,132x = 161,885 × 161,885
  4. Step 4: Simplify right side
    69,132x = 26,206,753,225
  5. Step 5: Solve for x
    x = 26,206,753,225/69,132
  6. Step 6: Final answer
    x = 379,082.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.