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Finding the Third Proportional to 57,652 and 124,198

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Solution

The third proportional to 57,652 and 124,198 is: 267,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,652 : 124,198 = 124,198 : x
  2. Step 2: Convert to fraction form
    57,652/124,198 = 124,198/x
  3. Step 3: Cross multiply
    57,652x = 124,198 × 124,198
  4. Step 4: Simplify right side
    57,652x = 15,425,143,204
  5. Step 5: Solve for x
    x = 15,425,143,204/57,652
  6. Step 6: Final answer
    x = 267,556.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.