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Finding the Third Proportional to 68,234 and 146,836

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Solution

The third proportional to 68,234 and 146,836 is: 315,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234 : 146,836 = 146,836 : x
  2. Step 2: Convert to fraction form
    68,234/146,836 = 146,836/x
  3. Step 3: Cross multiply
    68,234x = 146,836 × 146,836
  4. Step 4: Simplify right side
    68,234x = 21,560,810,896
  5. Step 5: Solve for x
    x = 21,560,810,896/68,234
  6. Step 6: Final answer
    x = 315,983.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.