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Finding the Third Proportional to 41,292 and 90,806

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Solution

The third proportional to 41,292 and 90,806 is: 199,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,292 : 90,806 = 90,806 : x
  2. Step 2: Convert to fraction form
    41,292/90,806 = 90,806/x
  3. Step 3: Cross multiply
    41,292x = 90,806 × 90,806
  4. Step 4: Simplify right side
    41,292x = 8,245,729,636
  5. Step 5: Solve for x
    x = 8,245,729,636/41,292
  6. Step 6: Final answer
    x = 199,693.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.