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Finding the Third Proportional to 95,782 and 140,891

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Solution

The third proportional to 95,782 and 140,891 is: 207,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,782 : 140,891 = 140,891 : x
  2. Step 2: Convert to fraction form
    95,782/140,891 = 140,891/x
  3. Step 3: Cross multiply
    95,782x = 140,891 × 140,891
  4. Step 4: Simplify right side
    95,782x = 19,850,273,881
  5. Step 5: Solve for x
    x = 19,850,273,881/95,782
  6. Step 6: Final answer
    x = 207,244.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.