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Finding the Third Proportional to 110,812 and 166,177

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Solution

The third proportional to 110,812 and 166,177 is: 249,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,812 : 166,177 = 166,177 : x
  2. Step 2: Convert to fraction form
    110,812/166,177 = 166,177/x
  3. Step 3: Cross multiply
    110,812x = 166,177 × 166,177
  4. Step 4: Simplify right side
    110,812x = 27,614,795,329
  5. Step 5: Solve for x
    x = 27,614,795,329/110,812
  6. Step 6: Final answer
    x = 249,204.02

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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.