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Finding the Third Proportional to 95,190 and 133,872

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Solution

The third proportional to 95,190 and 133,872 is: 188,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,190 : 133,872 = 133,872 : x
  2. Step 2: Convert to fraction form
    95,190/133,872 = 133,872/x
  3. Step 3: Cross multiply
    95,190x = 133,872 × 133,872
  4. Step 4: Simplify right side
    95,190x = 17,921,712,384
  5. Step 5: Solve for x
    x = 17,921,712,384/95,190
  6. Step 6: Final answer
    x = 188,273.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.