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Finding the Third Proportional to 68,771 and 104,561

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Solution

The third proportional to 68,771 and 104,561 is: 158,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,771 : 104,561 = 104,561 : x
  2. Step 2: Convert to fraction form
    68,771/104,561 = 104,561/x
  3. Step 3: Cross multiply
    68,771x = 104,561 × 104,561
  4. Step 4: Simplify right side
    68,771x = 10,933,002,721
  5. Step 5: Solve for x
    x = 10,933,002,721/68,771
  6. Step 6: Final answer
    x = 158,976.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.