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Finding the Third Proportional to 95,825 and 203,942

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Solution

The third proportional to 95,825 and 203,942 is: 434,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,825 : 203,942 = 203,942 : x
  2. Step 2: Convert to fraction form
    95,825/203,942 = 203,942/x
  3. Step 3: Cross multiply
    95,825x = 203,942 × 203,942
  4. Step 4: Simplify right side
    95,825x = 41,592,339,364
  5. Step 5: Solve for x
    x = 41,592,339,364/95,825
  6. Step 6: Final answer
    x = 434,044.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.