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Finding the Third Proportional to 41,769 and 91,449

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Solution

The third proportional to 41,769 and 91,449 is: 200,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,769 : 91,449 = 91,449 : x
  2. Step 2: Convert to fraction form
    41,769/91,449 = 91,449/x
  3. Step 3: Cross multiply
    41,769x = 91,449 × 91,449
  4. Step 4: Simplify right side
    41,769x = 8,362,919,601
  5. Step 5: Solve for x
    x = 8,362,919,601/41,769
  6. Step 6: Final answer
    x = 200,218.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.