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Finding the Third Proportional to 68,832 and 143,904

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Solution

The third proportional to 68,832 and 143,904 is: 300,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,832 : 143,904 = 143,904 : x
  2. Step 2: Convert to fraction form
    68,832/143,904 = 143,904/x
  3. Step 3: Cross multiply
    68,832x = 143,904 × 143,904
  4. Step 4: Simplify right side
    68,832x = 20,708,361,216
  5. Step 5: Solve for x
    x = 20,708,361,216/68,832
  6. Step 6: Final answer
    x = 300,853.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.