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Finding the Third Proportional to 50,382 and 104,958

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Solution

The third proportional to 50,382 and 104,958 is: 218,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382 : 104,958 = 104,958 : x
  2. Step 2: Convert to fraction form
    50,382/104,958 = 104,958/x
  3. Step 3: Cross multiply
    50,382x = 104,958 × 104,958
  4. Step 4: Simplify right side
    50,382x = 11,016,181,764
  5. Step 5: Solve for x
    x = 11,016,181,764/50,382
  6. Step 6: Final answer
    x = 218,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.