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Finding the Third Proportional to 48,212 and 74,198

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Solution

The third proportional to 48,212 and 74,198 is: 114,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,212 : 74,198 = 74,198 : x
  2. Step 2: Convert to fraction form
    48,212/74,198 = 74,198/x
  3. Step 3: Cross multiply
    48,212x = 74,198 × 74,198
  4. Step 4: Simplify right side
    48,212x = 5,505,343,204
  5. Step 5: Solve for x
    x = 5,505,343,204/48,212
  6. Step 6: Final answer
    x = 114,190.31

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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.