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Finding the Third Proportional to 80,517 and 171,438

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Solution

The third proportional to 80,517 and 171,438 is: 365,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,517 : 171,438 = 171,438 : x
  2. Step 2: Convert to fraction form
    80,517/171,438 = 171,438/x
  3. Step 3: Cross multiply
    80,517x = 171,438 × 171,438
  4. Step 4: Simplify right side
    80,517x = 29,390,987,844
  5. Step 5: Solve for x
    x = 29,390,987,844/80,517
  6. Step 6: Final answer
    x = 365,028.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.