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Finding the Third Proportional to 57,673 and 125,138

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Solution

The third proportional to 57,673 and 125,138 is: 271,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,673 : 125,138 = 125,138 : x
  2. Step 2: Convert to fraction form
    57,673/125,138 = 125,138/x
  3. Step 3: Cross multiply
    57,673x = 125,138 × 125,138
  4. Step 4: Simplify right side
    57,673x = 15,659,519,044
  5. Step 5: Solve for x
    x = 15,659,519,044/57,673
  6. Step 6: Final answer
    x = 271,522.53

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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.