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Finding the Third Proportional to 54,833 and 113,974

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Solution

The third proportional to 54,833 and 113,974 is: 236,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,833 : 113,974 = 113,974 : x
  2. Step 2: Convert to fraction form
    54,833/113,974 = 113,974/x
  3. Step 3: Cross multiply
    54,833x = 113,974 × 113,974
  4. Step 4: Simplify right side
    54,833x = 12,990,072,676
  5. Step 5: Solve for x
    x = 12,990,072,676/54,833
  6. Step 6: Final answer
    x = 236,902.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.