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Finding the Third Proportional to 43,982 and 85,775

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Solution

The third proportional to 43,982 and 85,775 is: 167,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,982 : 85,775 = 85,775 : x
  2. Step 2: Convert to fraction form
    43,982/85,775 = 85,775/x
  3. Step 3: Cross multiply
    43,982x = 85,775 × 85,775
  4. Step 4: Simplify right side
    43,982x = 7,357,350,625
  5. Step 5: Solve for x
    x = 7,357,350,625/43,982
  6. Step 6: Final answer
    x = 167,280.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.