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Finding the Third Proportional to 57,396 and 125,868

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Solution

The third proportional to 57,396 and 125,868 is: 276,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396 : 125,868 = 125,868 : x
  2. Step 2: Convert to fraction form
    57,396/125,868 = 125,868/x
  3. Step 3: Cross multiply
    57,396x = 125,868 × 125,868
  4. Step 4: Simplify right side
    57,396x = 15,842,753,424
  5. Step 5: Solve for x
    x = 15,842,753,424/57,396
  6. Step 6: Final answer
    x = 276,025.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.