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Finding the Third Proportional to 95,839 and 148,822

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Solution

The third proportional to 95,839 and 148,822 is: 231,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,839 : 148,822 = 148,822 : x
  2. Step 2: Convert to fraction form
    95,839/148,822 = 148,822/x
  3. Step 3: Cross multiply
    95,839x = 148,822 × 148,822
  4. Step 4: Simplify right side
    95,839x = 22,147,987,684
  5. Step 5: Solve for x
    x = 22,147,987,684/95,839
  6. Step 6: Final answer
    x = 231,095.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.