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Finding the Third Proportional to 73,638 and 113,351

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Solution

The third proportional to 73,638 and 113,351 is: 174,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,638 : 113,351 = 113,351 : x
  2. Step 2: Convert to fraction form
    73,638/113,351 = 113,351/x
  3. Step 3: Cross multiply
    73,638x = 113,351 × 113,351
  4. Step 4: Simplify right side
    73,638x = 12,848,449,201
  5. Step 5: Solve for x
    x = 12,848,449,201/73,638
  6. Step 6: Final answer
    x = 174,481.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.