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Finding the Third Proportional to 57,692.25 and 124,610.75

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Solution

The third proportional to 57,692.25 and 124,610.75 is: 269,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692.25 : 124,610.75 = 124,610.75 : x
  2. Step 2: Convert to fraction form
    57,692.25/124,610.75 = 124,610.75/x
  3. Step 3: Cross multiply
    57,692.25x = 124,610.75 × 124,610.75
  4. Step 4: Simplify right side
    57,692.25x = 15,527,839,015.56
  5. Step 5: Solve for x
    x = 15,527,839,015.56/57,692.25
  6. Step 6: Final answer
    x = 269,149.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.