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Finding the Third Proportional to 41,139 and 89,891

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Solution

The third proportional to 41,139 and 89,891 is: 196,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,139 : 89,891 = 89,891 : x
  2. Step 2: Convert to fraction form
    41,139/89,891 = 89,891/x
  3. Step 3: Cross multiply
    41,139x = 89,891 × 89,891
  4. Step 4: Simplify right side
    41,139x = 8,080,391,881
  5. Step 5: Solve for x
    x = 8,080,391,881/41,139
  6. Step 6: Final answer
    x = 196,416.83

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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.