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Finding the Third Proportional to 80,206 and 173,126

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Solution

The third proportional to 80,206 and 173,126 is: 373,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,206 : 173,126 = 173,126 : x
  2. Step 2: Convert to fraction form
    80,206/173,126 = 173,126/x
  3. Step 3: Cross multiply
    80,206x = 173,126 × 173,126
  4. Step 4: Simplify right side
    80,206x = 29,972,611,876
  5. Step 5: Solve for x
    x = 29,972,611,876/80,206
  6. Step 6: Final answer
    x = 373,695.38

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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.