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Finding the Third Proportional to 50,055 and 108,822

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Solution

The third proportional to 50,055 and 108,822 is: 236,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,055 : 108,822 = 108,822 : x
  2. Step 2: Convert to fraction form
    50,055/108,822 = 108,822/x
  3. Step 3: Cross multiply
    50,055x = 108,822 × 108,822
  4. Step 4: Simplify right side
    50,055x = 11,842,227,684
  5. Step 5: Solve for x
    x = 11,842,227,684/50,055
  6. Step 6: Final answer
    x = 236,584.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.