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Finding the Third Proportional to 57,843 and 125,406

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Solution

The third proportional to 57,843 and 125,406 is: 271,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843 : 125,406 = 125,406 : x
  2. Step 2: Convert to fraction form
    57,843/125,406 = 125,406/x
  3. Step 3: Cross multiply
    57,843x = 125,406 × 125,406
  4. Step 4: Simplify right side
    57,843x = 15,726,664,836
  5. Step 5: Solve for x
    x = 15,726,664,836/57,843
  6. Step 6: Final answer
    x = 271,885.36

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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.