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Finding the Third Proportional to 67,722.75 and 140,224.50

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Solution

The third proportional to 67,722.75 and 140,224.50 is: 290,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,722.75 : 140,224.50 = 140,224.50 : x
  2. Step 2: Convert to fraction form
    67,722.75/140,224.50 = 140,224.50/x
  3. Step 3: Cross multiply
    67,722.75x = 140,224.50 × 140,224.50
  4. Step 4: Simplify right side
    67,722.75x = 19,662,910,400.25
  5. Step 5: Solve for x
    x = 19,662,910,400.25/67,722.75
  6. Step 6: Final answer
    x = 290,344.24

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.