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Finding the Third Proportional to 52,974 and 108,378

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Solution

The third proportional to 52,974 and 108,378 is: 221,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974 : 108,378 = 108,378 : x
  2. Step 2: Convert to fraction form
    52,974/108,378 = 108,378/x
  3. Step 3: Cross multiply
    52,974x = 108,378 × 108,378
  4. Step 4: Simplify right side
    52,974x = 11,745,790,884
  5. Step 5: Solve for x
    x = 11,745,790,884/52,974
  6. Step 6: Final answer
    x = 221,727.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.