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Finding the Third Proportional to 67,904 and 144,568

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Solution

The third proportional to 67,904 and 144,568 is: 307,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,904 : 144,568 = 144,568 : x
  2. Step 2: Convert to fraction form
    67,904/144,568 = 144,568/x
  3. Step 3: Cross multiply
    67,904x = 144,568 × 144,568
  4. Step 4: Simplify right side
    67,904x = 20,899,906,624
  5. Step 5: Solve for x
    x = 20,899,906,624/67,904
  6. Step 6: Final answer
    x = 307,786.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.