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Finding the Third Proportional to 65,923 and 104,812

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Solution

The third proportional to 65,923 and 104,812 is: 166,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,923 : 104,812 = 104,812 : x
  2. Step 2: Convert to fraction form
    65,923/104,812 = 104,812/x
  3. Step 3: Cross multiply
    65,923x = 104,812 × 104,812
  4. Step 4: Simplify right side
    65,923x = 10,985,555,344
  5. Step 5: Solve for x
    x = 10,985,555,344/65,923
  6. Step 6: Final answer
    x = 166,642.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.