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Finding the Third Proportional to 31,843 and 68,383

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Solution

The third proportional to 31,843 and 68,383 is: 146,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843 : 68,383 = 68,383 : x
  2. Step 2: Convert to fraction form
    31,843/68,383 = 68,383/x
  3. Step 3: Cross multiply
    31,843x = 68,383 × 68,383
  4. Step 4: Simplify right side
    31,843x = 4,676,234,689
  5. Step 5: Solve for x
    x = 4,676,234,689/31,843
  6. Step 6: Final answer
    x = 146,852.83

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