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Finding the Third Proportional to 57,241 and 124,333

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Solution

The third proportional to 57,241 and 124,333 is: 270,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241 : 124,333 = 124,333 : x
  2. Step 2: Convert to fraction form
    57,241/124,333 = 124,333/x
  3. Step 3: Cross multiply
    57,241x = 124,333 × 124,333
  4. Step 4: Simplify right side
    57,241x = 15,458,694,889
  5. Step 5: Solve for x
    x = 15,458,694,889/57,241
  6. Step 6: Final answer
    x = 270,063.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.