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Finding the Third Proportional to 49,970 and 74,198

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Solution

The third proportional to 49,970 and 74,198 is: 110,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970 : 74,198 = 74,198 : x
  2. Step 2: Convert to fraction form
    49,970/74,198 = 74,198/x
  3. Step 3: Cross multiply
    49,970x = 74,198 × 74,198
  4. Step 4: Simplify right side
    49,970x = 5,505,343,204
  5. Step 5: Solve for x
    x = 5,505,343,204/49,970
  6. Step 6: Final answer
    x = 110,172.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.