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Finding the Third Proportional to 57,736 and 125,134

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Solution

The third proportional to 57,736 and 125,134 is: 271,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736 : 125,134 = 125,134 : x
  2. Step 2: Convert to fraction form
    57,736/125,134 = 125,134/x
  3. Step 3: Cross multiply
    57,736x = 125,134 × 125,134
  4. Step 4: Simplify right side
    57,736x = 15,658,517,956
  5. Step 5: Solve for x
    x = 15,658,517,956/57,736
  6. Step 6: Final answer
    x = 271,208.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.