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Finding the Third Proportional to 40,917 and 89,644

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Solution

The third proportional to 40,917 and 89,644 is: 196,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,917 : 89,644 = 89,644 : x
  2. Step 2: Convert to fraction form
    40,917/89,644 = 89,644/x
  3. Step 3: Cross multiply
    40,917x = 89,644 × 89,644
  4. Step 4: Simplify right side
    40,917x = 8,036,046,736
  5. Step 5: Solve for x
    x = 8,036,046,736/40,917
  6. Step 6: Final answer
    x = 196,398.73

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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.