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Finding the Third Proportional to 67,351.50 and 140,251.50

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Solution

The third proportional to 67,351.50 and 140,251.50 is: 292,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,351.50 : 140,251.50 = 140,251.50 : x
  2. Step 2: Convert to fraction form
    67,351.50/140,251.50 = 140,251.50/x
  3. Step 3: Cross multiply
    67,351.50x = 140,251.50 × 140,251.50
  4. Step 4: Simplify right side
    67,351.50x = 19,670,483,252.25
  5. Step 5: Solve for x
    x = 19,670,483,252.25/67,351.50
  6. Step 6: Final answer
    x = 292,057.09

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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.