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Finding the Third Proportional to 51,162 and 110,908

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Solution

The third proportional to 51,162 and 110,908 is: 240,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162 : 110,908 = 110,908 : x
  2. Step 2: Convert to fraction form
    51,162/110,908 = 110,908/x
  3. Step 3: Cross multiply
    51,162x = 110,908 × 110,908
  4. Step 4: Simplify right side
    51,162x = 12,300,584,464
  5. Step 5: Solve for x
    x = 12,300,584,464/51,162
  6. Step 6: Final answer
    x = 240,424.23

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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.