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Finding the Third Proportional to 56,115.75 and 123,135.38

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Solution

The third proportional to 56,115.75 and 123,135.38 is: 270,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,115.75 : 123,135.38 = 123,135.38 : x
  2. Step 2: Convert to fraction form
    56,115.75/123,135.38 = 123,135.38/x
  3. Step 3: Cross multiply
    56,115.75x = 123,135.38 × 123,135.38
  4. Step 4: Simplify right side
    56,115.75x = 15,162,320,576.39
  5. Step 5: Solve for x
    x = 15,162,320,576.39/56,115.75
  6. Step 6: Final answer
    x = 270,197.24

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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.