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Finding the Third Proportional to 39,544 and 84,112

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Solution

The third proportional to 39,544 and 84,112 is: 178,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,544 : 84,112 = 84,112 : x
  2. Step 2: Convert to fraction form
    39,544/84,112 = 84,112/x
  3. Step 3: Cross multiply
    39,544x = 84,112 × 84,112
  4. Step 4: Simplify right side
    39,544x = 7,074,828,544
  5. Step 5: Solve for x
    x = 7,074,828,544/39,544
  6. Step 6: Final answer
    x = 178,910.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.