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Finding the Third Proportional to 43,968 and 68,183

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Solution

The third proportional to 43,968 and 68,183 is: 105,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968 : 68,183 = 68,183 : x
  2. Step 2: Convert to fraction form
    43,968/68,183 = 68,183/x
  3. Step 3: Cross multiply
    43,968x = 68,183 × 68,183
  4. Step 4: Simplify right side
    43,968x = 4,648,921,489
  5. Step 5: Solve for x
    x = 4,648,921,489/43,968
  6. Step 6: Final answer
    x = 105,734.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.