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Finding the Third Proportional to 41,229 and 90,349

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Solution

The third proportional to 41,229 and 90,349 is: 197,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,229 : 90,349 = 90,349 : x
  2. Step 2: Convert to fraction form
    41,229/90,349 = 90,349/x
  3. Step 3: Cross multiply
    41,229x = 90,349 × 90,349
  4. Step 4: Simplify right side
    41,229x = 8,162,941,801
  5. Step 5: Solve for x
    x = 8,162,941,801/41,229
  6. Step 6: Final answer
    x = 197,990.29

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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.