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Finding the Third Proportional to 68,559 and 149,694

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Solution

The third proportional to 68,559 and 149,694 is: 326,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,559 : 149,694 = 149,694 : x
  2. Step 2: Convert to fraction form
    68,559/149,694 = 149,694/x
  3. Step 3: Cross multiply
    68,559x = 149,694 × 149,694
  4. Step 4: Simplify right side
    68,559x = 22,408,293,636
  5. Step 5: Solve for x
    x = 22,408,293,636/68,559
  6. Step 6: Final answer
    x = 326,846.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.