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Finding the Third Proportional to 53,542 and 113,112

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Solution

The third proportional to 53,542 and 113,112 is: 238,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542 : 113,112 = 113,112 : x
  2. Step 2: Convert to fraction form
    53,542/113,112 = 113,112/x
  3. Step 3: Cross multiply
    53,542x = 113,112 × 113,112
  4. Step 4: Simplify right side
    53,542x = 12,794,324,544
  5. Step 5: Solve for x
    x = 12,794,324,544/53,542
  6. Step 6: Final answer
    x = 238,958.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.