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Finding the Third Proportional to 136,227 and 187,003

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Solution

The third proportional to 136,227 and 187,003 is: 256,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,227 : 187,003 = 187,003 : x
  2. Step 2: Convert to fraction form
    136,227/187,003 = 187,003/x
  3. Step 3: Cross multiply
    136,227x = 187,003 × 187,003
  4. Step 4: Simplify right side
    136,227x = 34,970,122,009
  5. Step 5: Solve for x
    x = 34,970,122,009/136,227
  6. Step 6: Final answer
    x = 256,704.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.