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Finding the Third Proportional to 95,744.25 and 151,536.38

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Solution

The third proportional to 95,744.25 and 151,536.38 is: 239,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744.25 : 151,536.38 = 151,536.38 : x
  2. Step 2: Convert to fraction form
    95,744.25/151,536.38 = 151,536.38/x
  3. Step 3: Cross multiply
    95,744.25x = 151,536.38 × 151,536.38
  4. Step 4: Simplify right side
    95,744.25x = 22,963,272,948.14
  5. Step 5: Solve for x
    x = 22,963,272,948.14/95,744.25
  6. Step 6: Final answer
    x = 239,839.71

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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.