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Finding the Third Proportional to 41,891 and 90,344

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Solution

The third proportional to 41,891 and 90,344 is: 194,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,891 : 90,344 = 90,344 : x
  2. Step 2: Convert to fraction form
    41,891/90,344 = 90,344/x
  3. Step 3: Cross multiply
    41,891x = 90,344 × 90,344
  4. Step 4: Simplify right side
    41,891x = 8,162,038,336
  5. Step 5: Solve for x
    x = 8,162,038,336/41,891
  6. Step 6: Final answer
    x = 194,839.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.