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Finding the Third Proportional to 95,276 and 206,972

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Solution

The third proportional to 95,276 and 206,972 is: 449,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,276 : 206,972 = 206,972 : x
  2. Step 2: Convert to fraction form
    95,276/206,972 = 206,972/x
  3. Step 3: Cross multiply
    95,276x = 206,972 × 206,972
  4. Step 4: Simplify right side
    95,276x = 42,837,408,784
  5. Step 5: Solve for x
    x = 42,837,408,784/95,276
  6. Step 6: Final answer
    x = 449,613.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.