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Finding the Third Proportional to 95,312 and 140,192

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Solution

The third proportional to 95,312 and 140,192 is: 206,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,312 : 140,192 = 140,192 : x
  2. Step 2: Convert to fraction form
    95,312/140,192 = 140,192/x
  3. Step 3: Cross multiply
    95,312x = 140,192 × 140,192
  4. Step 4: Simplify right side
    95,312x = 19,653,796,864
  5. Step 5: Solve for x
    x = 19,653,796,864/95,312
  6. Step 6: Final answer
    x = 206,204.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.