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Finding the Third Proportional to 95,707 and 206,039

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Solution

The third proportional to 95,707 and 206,039 is: 443,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,707 : 206,039 = 206,039 : x
  2. Step 2: Convert to fraction form
    95,707/206,039 = 206,039/x
  3. Step 3: Cross multiply
    95,707x = 206,039 × 206,039
  4. Step 4: Simplify right side
    95,707x = 42,452,069,521
  5. Step 5: Solve for x
    x = 42,452,069,521/95,707
  6. Step 6: Final answer
    x = 443,562.85

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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.