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Finding the Third Proportional to 41,067 and 94,581

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Solution

The third proportional to 41,067 and 94,581 is: 217,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,067 : 94,581 = 94,581 : x
  2. Step 2: Convert to fraction form
    41,067/94,581 = 94,581/x
  3. Step 3: Cross multiply
    41,067x = 94,581 × 94,581
  4. Step 4: Simplify right side
    41,067x = 8,945,565,561
  5. Step 5: Solve for x
    x = 8,945,565,561/41,067
  6. Step 6: Final answer
    x = 217,828.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.