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Finding the Third Proportional to 83,728 and 171,296

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Solution

The third proportional to 83,728 and 171,296 is: 350,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,728 : 171,296 = 171,296 : x
  2. Step 2: Convert to fraction form
    83,728/171,296 = 171,296/x
  3. Step 3: Cross multiply
    83,728x = 171,296 × 171,296
  4. Step 4: Simplify right side
    83,728x = 29,342,319,616
  5. Step 5: Solve for x
    x = 29,342,319,616/83,728
  6. Step 6: Final answer
    x = 350,448.11

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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.