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Finding the Third Proportional to 63,949.50 and 140,359.50

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Solution

The third proportional to 63,949.50 and 140,359.50 is: 308,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,949.50 : 140,359.50 = 140,359.50 : x
  2. Step 2: Convert to fraction form
    63,949.50/140,359.50 = 140,359.50/x
  3. Step 3: Cross multiply
    63,949.50x = 140,359.50 × 140,359.50
  4. Step 4: Simplify right side
    63,949.50x = 19,700,789,240.25
  5. Step 5: Solve for x
    x = 19,700,789,240.25/63,949.50
  6. Step 6: Final answer
    x = 308,067.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.