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Finding the Third Proportional to 95,972 and 206,524

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Solution

The third proportional to 95,972 and 206,524 is: 444,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,972 : 206,524 = 206,524 : x
  2. Step 2: Convert to fraction form
    95,972/206,524 = 206,524/x
  3. Step 3: Cross multiply
    95,972x = 206,524 × 206,524
  4. Step 4: Simplify right side
    95,972x = 42,652,162,576
  5. Step 5: Solve for x
    x = 42,652,162,576/95,972
  6. Step 6: Final answer
    x = 444,422.98

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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.