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Finding the Third Proportional to 95,192 and 197,872

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Solution

The third proportional to 95,192 and 197,872 is: 411,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,192 : 197,872 = 197,872 : x
  2. Step 2: Convert to fraction form
    95,192/197,872 = 197,872/x
  3. Step 3: Cross multiply
    95,192x = 197,872 × 197,872
  4. Step 4: Simplify right side
    95,192x = 39,153,328,384
  5. Step 5: Solve for x
    x = 39,153,328,384/95,192
  6. Step 6: Final answer
    x = 411,309.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.