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Finding the Third Proportional to 108,665 and 166,227

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Solution

The third proportional to 108,665 and 166,227 is: 254,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,665 : 166,227 = 166,227 : x
  2. Step 2: Convert to fraction form
    108,665/166,227 = 166,227/x
  3. Step 3: Cross multiply
    108,665x = 166,227 × 166,227
  4. Step 4: Simplify right side
    108,665x = 27,631,415,529
  5. Step 5: Solve for x
    x = 27,631,415,529/108,665
  6. Step 6: Final answer
    x = 254,280.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.