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Finding the Third Proportional to 56,414.25 and 120,138.75

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Solution

The third proportional to 56,414.25 and 120,138.75 is: 255,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414.25 : 120,138.75 = 120,138.75 : x
  2. Step 2: Convert to fraction form
    56,414.25/120,138.75 = 120,138.75/x
  3. Step 3: Cross multiply
    56,414.25x = 120,138.75 × 120,138.75
  4. Step 4: Simplify right side
    56,414.25x = 14,433,319,251.56
  5. Step 5: Solve for x
    x = 14,433,319,251.56/56,414.25
  6. Step 6: Final answer
    x = 255,845.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.