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Finding the Third Proportional to 128,067.64 and 281,046.59

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Solution

The third proportional to 128,067.64 and 281,046.59 is: 616,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,067.64 : 281,046.59 = 281,046.59 : x
  2. Step 2: Convert to fraction form
    128,067.64/281,046.59 = 281,046.59/x
  3. Step 3: Cross multiply
    128,067.64x = 281,046.59 × 281,046.59
  4. Step 4: Simplify right side
    128,067.64x = 78,987,183,467.12
  5. Step 5: Solve for x
    x = 78,987,183,467.12/128,067.64
  6. Step 6: Final answer
    x = 616,761.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.