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Finding the Third Proportional to 56,310.75 and 123,067.13

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Solution

The third proportional to 56,310.75 and 123,067.13 is: 268,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,310.75 : 123,067.13 = 123,067.13 : x
  2. Step 2: Convert to fraction form
    56,310.75/123,067.13 = 123,067.13/x
  3. Step 3: Cross multiply
    56,310.75x = 123,067.13 × 123,067.13
  4. Step 4: Simplify right side
    56,310.75x = 15,145,517,255.77
  5. Step 5: Solve for x
    x = 15,145,517,255.77/56,310.75
  6. Step 6: Final answer
    x = 268,963.16

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Why These Related Problems?

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