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Finding the Third Proportional to 110,908 and 166,175

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Solution

The third proportional to 110,908 and 166,175 is: 248,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,908 : 166,175 = 166,175 : x
  2. Step 2: Convert to fraction form
    110,908/166,175 = 166,175/x
  3. Step 3: Cross multiply
    110,908x = 166,175 × 166,175
  4. Step 4: Simplify right side
    110,908x = 27,614,130,625
  5. Step 5: Solve for x
    x = 27,614,130,625/110,908
  6. Step 6: Final answer
    x = 248,982.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.