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Finding the Third Proportional to 50,195 and 73,902

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Solution

The third proportional to 50,195 and 73,902 is: 108,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195 : 73,902 = 73,902 : x
  2. Step 2: Convert to fraction form
    50,195/73,902 = 73,902/x
  3. Step 3: Cross multiply
    50,195x = 73,902 × 73,902
  4. Step 4: Simplify right side
    50,195x = 5,461,505,604
  5. Step 5: Solve for x
    x = 5,461,505,604/50,195
  6. Step 6: Final answer
    x = 108,805.77

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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.