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Finding the Third Proportional to 92,832 and 161,847

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Solution

The third proportional to 92,832 and 161,847 is: 282,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,832 : 161,847 = 161,847 : x
  2. Step 2: Convert to fraction form
    92,832/161,847 = 161,847/x
  3. Step 3: Cross multiply
    92,832x = 161,847 × 161,847
  4. Step 4: Simplify right side
    92,832x = 26,194,451,409
  5. Step 5: Solve for x
    x = 26,194,451,409/92,832
  6. Step 6: Final answer
    x = 282,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.