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Finding the Third Proportional to 80,926.50 and 173,517

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Solution

The third proportional to 80,926.50 and 173,517 is: 372,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,926.50 : 173,517 = 173,517 : x
  2. Step 2: Convert to fraction form
    80,926.50/173,517 = 173,517/x
  3. Step 3: Cross multiply
    80,926.50x = 173,517 × 173,517
  4. Step 4: Simplify right side
    80,926.50x = 30,108,149,289
  5. Step 5: Solve for x
    x = 30,108,149,289/80,926.50
  6. Step 6: Final answer
    x = 372,043.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.