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Finding the Third Proportional to 96,682 and 159,108

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Solution

The third proportional to 96,682 and 159,108 is: 261,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,682 : 159,108 = 159,108 : x
  2. Step 2: Convert to fraction form
    96,682/159,108 = 159,108/x
  3. Step 3: Cross multiply
    96,682x = 159,108 × 159,108
  4. Step 4: Simplify right side
    96,682x = 25,315,355,664
  5. Step 5: Solve for x
    x = 25,315,355,664/96,682
  6. Step 6: Final answer
    x = 261,841.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.