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Finding the Third Proportional to 95,943 and 203,578

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Solution

The third proportional to 95,943 and 203,578 is: 431,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,943 : 203,578 = 203,578 : x
  2. Step 2: Convert to fraction form
    95,943/203,578 = 203,578/x
  3. Step 3: Cross multiply
    95,943x = 203,578 × 203,578
  4. Step 4: Simplify right side
    95,943x = 41,444,002,084
  5. Step 5: Solve for x
    x = 41,444,002,084/95,943
  6. Step 6: Final answer
    x = 431,964.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.