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Finding the Third Proportional to 95,786 and 151,601

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Solution

The third proportional to 95,786 and 151,601 is: 239,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,786 : 151,601 = 151,601 : x
  2. Step 2: Convert to fraction form
    95,786/151,601 = 151,601/x
  3. Step 3: Cross multiply
    95,786x = 151,601 × 151,601
  4. Step 4: Simplify right side
    95,786x = 22,982,863,201
  5. Step 5: Solve for x
    x = 22,982,863,201/95,786
  6. Step 6: Final answer
    x = 239,939.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.