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Finding the Third Proportional to 41,118.38 and 85,468.69

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Solution

The third proportional to 41,118.38 and 85,468.69 is: 177,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118.38 : 85,468.69 = 85,468.69 : x
  2. Step 2: Convert to fraction form
    41,118.38/85,468.69 = 85,468.69/x
  3. Step 3: Cross multiply
    41,118.38x = 85,468.69 × 85,468.69
  4. Step 4: Simplify right side
    41,118.38x = 7,304,896,542.97
  5. Step 5: Solve for x
    x = 7,304,896,542.97/41,118.38
  6. Step 6: Final answer
    x = 177,655.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.