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Finding the Third Proportional to 67,439.25 and 144,720

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Solution

The third proportional to 67,439.25 and 144,720 is: 310,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,439.25 : 144,720 = 144,720 : x
  2. Step 2: Convert to fraction form
    67,439.25/144,720 = 144,720/x
  3. Step 3: Cross multiply
    67,439.25x = 144,720 × 144,720
  4. Step 4: Simplify right side
    67,439.25x = 20,943,878,400
  5. Step 5: Solve for x
    x = 20,943,878,400/67,439.25
  6. Step 6: Final answer
    x = 310,559.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.