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Finding the Third Proportional to 54,194 and 80,883

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Solution

The third proportional to 54,194 and 80,883 is: 120,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,194 : 80,883 = 80,883 : x
  2. Step 2: Convert to fraction form
    54,194/80,883 = 80,883/x
  3. Step 3: Cross multiply
    54,194x = 80,883 × 80,883
  4. Step 4: Simplify right side
    54,194x = 6,542,059,689
  5. Step 5: Solve for x
    x = 6,542,059,689/54,194
  6. Step 6: Final answer
    x = 120,715.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.