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Finding the Third Proportional to 41,359 and 89,719

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Solution

The third proportional to 41,359 and 89,719 is: 194,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,359 : 89,719 = 89,719 : x
  2. Step 2: Convert to fraction form
    41,359/89,719 = 89,719/x
  3. Step 3: Cross multiply
    41,359x = 89,719 × 89,719
  4. Step 4: Simplify right side
    41,359x = 8,049,498,961
  5. Step 5: Solve for x
    x = 8,049,498,961/41,359
  6. Step 6: Final answer
    x = 194,625.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.