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Finding the Third Proportional to 101,997 and 187,227

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Solution

The third proportional to 101,997 and 187,227 is: 343,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,997 : 187,227 = 187,227 : x
  2. Step 2: Convert to fraction form
    101,997/187,227 = 187,227/x
  3. Step 3: Cross multiply
    101,997x = 187,227 × 187,227
  4. Step 4: Simplify right side
    101,997x = 35,053,949,529
  5. Step 5: Solve for x
    x = 35,053,949,529/101,997
  6. Step 6: Final answer
    x = 343,676.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.