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Finding the Third Proportional to 95,231 and 181,822

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Solution

The third proportional to 95,231 and 181,822 is: 347,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,231 : 181,822 = 181,822 : x
  2. Step 2: Convert to fraction form
    95,231/181,822 = 181,822/x
  3. Step 3: Cross multiply
    95,231x = 181,822 × 181,822
  4. Step 4: Simplify right side
    95,231x = 33,059,239,684
  5. Step 5: Solve for x
    x = 33,059,239,684/95,231
  6. Step 6: Final answer
    x = 347,147.88

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.