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Finding the Third Proportional to 68,058 and 144,198

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Solution

The third proportional to 68,058 and 144,198 is: 305,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058 : 144,198 = 144,198 : x
  2. Step 2: Convert to fraction form
    68,058/144,198 = 144,198/x
  3. Step 3: Cross multiply
    68,058x = 144,198 × 144,198
  4. Step 4: Simplify right side
    68,058x = 20,793,063,204
  5. Step 5: Solve for x
    x = 20,793,063,204/68,058
  6. Step 6: Final answer
    x = 305,519.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.