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Finding the Third Proportional to 41,293 and 90,474

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Solution

The third proportional to 41,293 and 90,474 is: 198,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,293 : 90,474 = 90,474 : x
  2. Step 2: Convert to fraction form
    41,293/90,474 = 90,474/x
  3. Step 3: Cross multiply
    41,293x = 90,474 × 90,474
  4. Step 4: Simplify right side
    41,293x = 8,185,544,676
  5. Step 5: Solve for x
    x = 8,185,544,676/41,293
  6. Step 6: Final answer
    x = 198,230.81

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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.