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Finding the Third Proportional to 41,568 and 90,592

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Solution

The third proportional to 41,568 and 90,592 is: 197,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,568 : 90,592 = 90,592 : x
  2. Step 2: Convert to fraction form
    41,568/90,592 = 90,592/x
  3. Step 3: Cross multiply
    41,568x = 90,592 × 90,592
  4. Step 4: Simplify right side
    41,568x = 8,206,910,464
  5. Step 5: Solve for x
    x = 8,206,910,464/41,568
  6. Step 6: Final answer
    x = 197,433.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.