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Finding the Third Proportional to 43,839 and 95,859

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Solution

The third proportional to 43,839 and 95,859 is: 209,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,839 : 95,859 = 95,859 : x
  2. Step 2: Convert to fraction form
    43,839/95,859 = 95,859/x
  3. Step 3: Cross multiply
    43,839x = 95,859 × 95,859
  4. Step 4: Simplify right side
    43,839x = 9,188,947,881
  5. Step 5: Solve for x
    x = 9,188,947,881/43,839
  6. Step 6: Final answer
    x = 209,606.69

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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.