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Finding the Third Proportional to 85,832 and 173,997

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Solution

The third proportional to 85,832 and 173,997 is: 352,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,832 : 173,997 = 173,997 : x
  2. Step 2: Convert to fraction form
    85,832/173,997 = 173,997/x
  3. Step 3: Cross multiply
    85,832x = 173,997 × 173,997
  4. Step 4: Simplify right side
    85,832x = 30,274,956,009
  5. Step 5: Solve for x
    x = 30,274,956,009/85,832
  6. Step 6: Final answer
    x = 352,723.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.