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Finding the Third Proportional to 80,016 and 172,704

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Solution

The third proportional to 80,016 and 172,704 is: 372,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,016 : 172,704 = 172,704 : x
  2. Step 2: Convert to fraction form
    80,016/172,704 = 172,704/x
  3. Step 3: Cross multiply
    80,016x = 172,704 × 172,704
  4. Step 4: Simplify right side
    80,016x = 29,826,671,616
  5. Step 5: Solve for x
    x = 29,826,671,616/80,016
  6. Step 6: Final answer
    x = 372,758.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.