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Finding the Third Proportional to 80,014.50 and 172,422

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Solution

The third proportional to 80,014.50 and 172,422 is: 371,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,014.50 : 172,422 = 172,422 : x
  2. Step 2: Convert to fraction form
    80,014.50/172,422 = 172,422/x
  3. Step 3: Cross multiply
    80,014.50x = 172,422 × 172,422
  4. Step 4: Simplify right side
    80,014.50x = 29,729,346,084
  5. Step 5: Solve for x
    x = 29,729,346,084/80,014.50
  6. Step 6: Final answer
    x = 371,549.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.