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Finding the Third Proportional to 95,781 and 205,975

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Solution

The third proportional to 95,781 and 205,975 is: 442,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,781 : 205,975 = 205,975 : x
  2. Step 2: Convert to fraction form
    95,781/205,975 = 205,975/x
  3. Step 3: Cross multiply
    95,781x = 205,975 × 205,975
  4. Step 4: Simplify right side
    95,781x = 42,425,700,625
  5. Step 5: Solve for x
    x = 42,425,700,625/95,781
  6. Step 6: Final answer
    x = 442,944.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.