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Finding the Third Proportional to 57,251.06 and 120,960.75

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Solution

The third proportional to 57,251.06 and 120,960.75 is: 255,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,251.06 : 120,960.75 = 120,960.75 : x
  2. Step 2: Convert to fraction form
    57,251.06/120,960.75 = 120,960.75/x
  3. Step 3: Cross multiply
    57,251.06x = 120,960.75 × 120,960.75
  4. Step 4: Simplify right side
    57,251.06x = 14,631,503,040.56
  5. Step 5: Solve for x
    x = 14,631,503,040.56/57,251.06
  6. Step 6: Final answer
    x = 255,567.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.