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Finding the Third Proportional to 83,504.25 and 171,108

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Solution

The third proportional to 83,504.25 and 171,108 is: 350,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,504.25 : 171,108 = 171,108 : x
  2. Step 2: Convert to fraction form
    83,504.25/171,108 = 171,108/x
  3. Step 3: Cross multiply
    83,504.25x = 171,108 × 171,108
  4. Step 4: Simplify right side
    83,504.25x = 29,277,947,664
  5. Step 5: Solve for x
    x = 29,277,947,664/83,504.25
  6. Step 6: Final answer
    x = 350,616.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.