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Finding the Third Proportional to 43,890 and 85,589

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Solution

The third proportional to 43,890 and 85,589 is: 166,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,890 : 85,589 = 85,589 : x
  2. Step 2: Convert to fraction form
    43,890/85,589 = 85,589/x
  3. Step 3: Cross multiply
    43,890x = 85,589 × 85,589
  4. Step 4: Simplify right side
    43,890x = 7,325,476,921
  5. Step 5: Solve for x
    x = 7,325,476,921/43,890
  6. Step 6: Final answer
    x = 166,905.38

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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.