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Finding the Third Proportional to 104,908 and 166,372

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Solution

The third proportional to 104,908 and 166,372 is: 263,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,908 : 166,372 = 166,372 : x
  2. Step 2: Convert to fraction form
    104,908/166,372 = 166,372/x
  3. Step 3: Cross multiply
    104,908x = 166,372 × 166,372
  4. Step 4: Simplify right side
    104,908x = 27,679,642,384
  5. Step 5: Solve for x
    x = 27,679,642,384/104,908
  6. Step 6: Final answer
    x = 263,846.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.