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Finding the Third Proportional to 41,291 and 90,458

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Solution

The third proportional to 41,291 and 90,458 is: 198,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,291 : 90,458 = 90,458 : x
  2. Step 2: Convert to fraction form
    41,291/90,458 = 90,458/x
  3. Step 3: Cross multiply
    41,291x = 90,458 × 90,458
  4. Step 4: Simplify right side
    41,291x = 8,182,649,764
  5. Step 5: Solve for x
    x = 8,182,649,764/41,291
  6. Step 6: Final answer
    x = 198,170.30

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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.