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Finding the Third Proportional to 57,110 and 122,725

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Solution

The third proportional to 57,110 and 122,725 is: 263,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,110 : 122,725 = 122,725 : x
  2. Step 2: Convert to fraction form
    57,110/122,725 = 122,725/x
  3. Step 3: Cross multiply
    57,110x = 122,725 × 122,725
  4. Step 4: Simplify right side
    57,110x = 15,061,425,625
  5. Step 5: Solve for x
    x = 15,061,425,625/57,110
  6. Step 6: Final answer
    x = 263,726.59

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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.