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Finding the Third Proportional to 57,105 and 122,960

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Solution

The third proportional to 57,105 and 122,960 is: 264,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105 : 122,960 = 122,960 : x
  2. Step 2: Convert to fraction form
    57,105/122,960 = 122,960/x
  3. Step 3: Cross multiply
    57,105x = 122,960 × 122,960
  4. Step 4: Simplify right side
    57,105x = 15,119,161,600
  5. Step 5: Solve for x
    x = 15,119,161,600/57,105
  6. Step 6: Final answer
    x = 264,760.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.