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Finding the Third Proportional to 50,979 and 108,933

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Solution

The third proportional to 50,979 and 108,933 is: 232,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 108,933 = 108,933 : x
  2. Step 2: Convert to fraction form
    50,979/108,933 = 108,933/x
  3. Step 3: Cross multiply
    50,979x = 108,933 × 108,933
  4. Step 4: Simplify right side
    50,979x = 11,866,398,489
  5. Step 5: Solve for x
    x = 11,866,398,489/50,979
  6. Step 6: Final answer
    x = 232,770.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.