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Finding the Third Proportional to 67,067.50 and 139,642.75

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Solution

The third proportional to 67,067.50 and 139,642.75 is: 290,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,067.50 : 139,642.75 = 139,642.75 : x
  2. Step 2: Convert to fraction form
    67,067.50/139,642.75 = 139,642.75/x
  3. Step 3: Cross multiply
    67,067.50x = 139,642.75 × 139,642.75
  4. Step 4: Simplify right side
    67,067.50x = 19,500,097,627.56
  5. Step 5: Solve for x
    x = 19,500,097,627.56/67,067.50
  6. Step 6: Final answer
    x = 290,753.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.