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Finding the Third Proportional to 41,067 and 84,943.69

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Solution

The third proportional to 41,067 and 84,943.69 is: 175,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,067 : 84,943.69 = 84,943.69 : x
  2. Step 2: Convert to fraction form
    41,067/84,943.69 = 84,943.69/x
  3. Step 3: Cross multiply
    41,067x = 84,943.69 × 84,943.69
  4. Step 4: Simplify right side
    41,067x = 7,215,430,046.10
  5. Step 5: Solve for x
    x = 7,215,430,046.10/41,067
  6. Step 6: Final answer
    x = 175,698.98

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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.