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Finding the Third Proportional to 50,112 and 108,864

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Solution

The third proportional to 50,112 and 108,864 is: 236,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 108,864 = 108,864 : x
  2. Step 2: Convert to fraction form
    50,112/108,864 = 108,864/x
  3. Step 3: Cross multiply
    50,112x = 108,864 × 108,864
  4. Step 4: Simplify right side
    50,112x = 11,851,370,496
  5. Step 5: Solve for x
    x = 11,851,370,496/50,112
  6. Step 6: Final answer
    x = 236,497.66

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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.