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Finding the Third Proportional to 50,198 and 73,904

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Solution

The third proportional to 50,198 and 73,904 is: 108,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198 : 73,904 = 73,904 : x
  2. Step 2: Convert to fraction form
    50,198/73,904 = 73,904/x
  3. Step 3: Cross multiply
    50,198x = 73,904 × 73,904
  4. Step 4: Simplify right side
    50,198x = 5,461,801,216
  5. Step 5: Solve for x
    x = 5,461,801,216/50,198
  6. Step 6: Final answer
    x = 108,805.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.