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Finding the Third Proportional to 54,833 and 113,975

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Solution

The third proportional to 54,833 and 113,975 is: 236,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,833 : 113,975 = 113,975 : x
  2. Step 2: Convert to fraction form
    54,833/113,975 = 113,975/x
  3. Step 3: Cross multiply
    54,833x = 113,975 × 113,975
  4. Step 4: Simplify right side
    54,833x = 12,990,300,625
  5. Step 5: Solve for x
    x = 12,990,300,625/54,833
  6. Step 6: Final answer
    x = 236,906.62

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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.