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Finding the Third Proportional to 41,449 and 90,674

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Solution

The third proportional to 41,449 and 90,674 is: 198,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,449 : 90,674 = 90,674 : x
  2. Step 2: Convert to fraction form
    41,449/90,674 = 90,674/x
  3. Step 3: Cross multiply
    41,449x = 90,674 × 90,674
  4. Step 4: Simplify right side
    41,449x = 8,221,774,276
  5. Step 5: Solve for x
    x = 8,221,774,276/41,449
  6. Step 6: Final answer
    x = 198,358.81

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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.