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Finding the Third Proportional to 95,967 and 223,092

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Solution

The third proportional to 95,967 and 223,092 is: 518,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967 : 223,092 = 223,092 : x
  2. Step 2: Convert to fraction form
    95,967/223,092 = 223,092/x
  3. Step 3: Cross multiply
    95,967x = 223,092 × 223,092
  4. Step 4: Simplify right side
    95,967x = 49,770,040,464
  5. Step 5: Solve for x
    x = 49,770,040,464/95,967
  6. Step 6: Final answer
    x = 518,616.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.