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Finding the Third Proportional to 65,932 and 104,825

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Solution

The third proportional to 65,932 and 104,825 is: 166,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,932 : 104,825 = 104,825 : x
  2. Step 2: Convert to fraction form
    65,932/104,825 = 104,825/x
  3. Step 3: Cross multiply
    65,932x = 104,825 × 104,825
  4. Step 4: Simplify right side
    65,932x = 10,988,280,625
  5. Step 5: Solve for x
    x = 10,988,280,625/65,932
  6. Step 6: Final answer
    x = 166,660.81

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