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Finding the Third Proportional to 41,864 and 90,568

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Solution

The third proportional to 41,864 and 90,568 is: 195,933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,864 : 90,568 = 90,568 : x
  2. Step 2: Convert to fraction form
    41,864/90,568 = 90,568/x
  3. Step 3: Cross multiply
    41,864x = 90,568 × 90,568
  4. Step 4: Simplify right side
    41,864x = 8,202,562,624
  5. Step 5: Solve for x
    x = 8,202,562,624/41,864
  6. Step 6: Final answer
    x = 195,933.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.