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Finding the Third Proportional to 52,758 and 107,471

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Solution

The third proportional to 52,758 and 107,471 is: 218,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758 : 107,471 = 107,471 : x
  2. Step 2: Convert to fraction form
    52,758/107,471 = 107,471/x
  3. Step 3: Cross multiply
    52,758x = 107,471 × 107,471
  4. Step 4: Simplify right side
    52,758x = 11,550,015,841
  5. Step 5: Solve for x
    x = 11,550,015,841/52,758
  6. Step 6: Final answer
    x = 218,924.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.