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Finding the Third Proportional to 57,380.38 and 124,289.38

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Solution

The third proportional to 57,380.38 and 124,289.38 is: 269,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,380.38 : 124,289.38 = 124,289.38 : x
  2. Step 2: Convert to fraction form
    57,380.38/124,289.38 = 124,289.38/x
  3. Step 3: Cross multiply
    57,380.38x = 124,289.38 × 124,289.38
  4. Step 4: Simplify right side
    57,380.38x = 15,447,848,737.89
  5. Step 5: Solve for x
    x = 15,447,848,737.89/57,380.38
  6. Step 6: Final answer
    x = 269,218.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.