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Finding the Third Proportional to 95,380 and 141,449

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Solution

The third proportional to 95,380 and 141,449 is: 209,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,380 : 141,449 = 141,449 : x
  2. Step 2: Convert to fraction form
    95,380/141,449 = 141,449/x
  3. Step 3: Cross multiply
    95,380x = 141,449 × 141,449
  4. Step 4: Simplify right side
    95,380x = 20,007,819,601
  5. Step 5: Solve for x
    x = 20,007,819,601/95,380
  6. Step 6: Final answer
    x = 209,769.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.