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Finding the Third Proportional to 80,015 and 173,512

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Solution

The third proportional to 80,015 and 173,512 is: 376,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,015 : 173,512 = 173,512 : x
  2. Step 2: Convert to fraction form
    80,015/173,512 = 173,512/x
  3. Step 3: Cross multiply
    80,015x = 173,512 × 173,512
  4. Step 4: Simplify right side
    80,015x = 30,106,414,144
  5. Step 5: Solve for x
    x = 30,106,414,144/80,015
  6. Step 6: Final answer
    x = 376,259.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.