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Finding the Third Proportional to 142,067.25 and 236,747.25

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Solution

The third proportional to 142,067.25 and 236,747.25 is: 394,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,067.25 : 236,747.25 = 236,747.25 : x
  2. Step 2: Convert to fraction form
    142,067.25/236,747.25 = 236,747.25/x
  3. Step 3: Cross multiply
    142,067.25x = 236,747.25 × 236,747.25
  4. Step 4: Simplify right side
    142,067.25x = 56,049,260,382.56
  5. Step 5: Solve for x
    x = 56,049,260,382.56/142,067.25
  6. Step 6: Final answer
    x = 394,526.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.