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Finding the Third Proportional to 68,067 and 144,369

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Solution

The third proportional to 68,067 and 144,369 is: 306,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,067 : 144,369 = 144,369 : x
  2. Step 2: Convert to fraction form
    68,067/144,369 = 144,369/x
  3. Step 3: Cross multiply
    68,067x = 144,369 × 144,369
  4. Step 4: Simplify right side
    68,067x = 20,842,408,161
  5. Step 5: Solve for x
    x = 20,842,408,161/68,067
  6. Step 6: Final answer
    x = 306,204.30

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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.