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Finding the Third Proportional to 80,941 and 171,745

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Solution

The third proportional to 80,941 and 171,745 is: 364,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,941 : 171,745 = 171,745 : x
  2. Step 2: Convert to fraction form
    80,941/171,745 = 171,745/x
  3. Step 3: Cross multiply
    80,941x = 171,745 × 171,745
  4. Step 4: Simplify right side
    80,941x = 29,496,345,025
  5. Step 5: Solve for x
    x = 29,496,345,025/80,941
  6. Step 6: Final answer
    x = 364,417.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.