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Finding the Third Proportional to 57,067.88 and 82,200.38

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Solution

The third proportional to 57,067.88 and 82,200.38 is: 118,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,067.88 : 82,200.38 = 82,200.38 : x
  2. Step 2: Convert to fraction form
    57,067.88/82,200.38 = 82,200.38/x
  3. Step 3: Cross multiply
    57,067.88x = 82,200.38 × 82,200.38
  4. Step 4: Simplify right side
    57,067.88x = 6,756,901,650.14
  5. Step 5: Solve for x
    x = 6,756,901,650.14/57,067.88
  6. Step 6: Final answer
    x = 118,401.14

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.