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Finding the Third Proportional to 39,049 and 80,866

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Solution

The third proportional to 39,049 and 80,866 is: 167,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,049 : 80,866 = 80,866 : x
  2. Step 2: Convert to fraction form
    39,049/80,866 = 80,866/x
  3. Step 3: Cross multiply
    39,049x = 80,866 × 80,866
  4. Step 4: Simplify right side
    39,049x = 6,539,309,956
  5. Step 5: Solve for x
    x = 6,539,309,956/39,049
  6. Step 6: Final answer
    x = 167,464.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.