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Finding the Third Proportional to 67,629.94 and 144,640.69

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Solution

The third proportional to 67,629.94 and 144,640.69 is: 309,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629.94 : 144,640.69 = 144,640.69 : x
  2. Step 2: Convert to fraction form
    67,629.94/144,640.69 = 144,640.69/x
  3. Step 3: Cross multiply
    67,629.94x = 144,640.69 × 144,640.69
  4. Step 4: Simplify right side
    67,629.94x = 20,920,928,480.47
  5. Step 5: Solve for x
    x = 20,920,928,480.47/67,629.94
  6. Step 6: Final answer
    x = 309,344.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.