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Finding the Third Proportional to 57,833 and 133,874

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Solution

The third proportional to 57,833 and 133,874 is: 309,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,833 : 133,874 = 133,874 : x
  2. Step 2: Convert to fraction form
    57,833/133,874 = 133,874/x
  3. Step 3: Cross multiply
    57,833x = 133,874 × 133,874
  4. Step 4: Simplify right side
    57,833x = 17,922,247,876
  5. Step 5: Solve for x
    x = 17,922,247,876/57,833
  6. Step 6: Final answer
    x = 309,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.