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Finding the Third Proportional to 95,750 and 205,718

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Solution

The third proportional to 95,750 and 205,718 is: 441,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,750 : 205,718 = 205,718 : x
  2. Step 2: Convert to fraction form
    95,750/205,718 = 205,718/x
  3. Step 3: Cross multiply
    95,750x = 205,718 × 205,718
  4. Step 4: Simplify right side
    95,750x = 42,319,895,524
  5. Step 5: Solve for x
    x = 42,319,895,524/95,750
  6. Step 6: Final answer
    x = 441,983.24

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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.