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Finding the Third Proportional to 110,997 and 173,936

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Solution

The third proportional to 110,997 and 173,936 is: 272,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,997 : 173,936 = 173,936 : x
  2. Step 2: Convert to fraction form
    110,997/173,936 = 173,936/x
  3. Step 3: Cross multiply
    110,997x = 173,936 × 173,936
  4. Step 4: Simplify right side
    110,997x = 30,253,732,096
  5. Step 5: Solve for x
    x = 30,253,732,096/110,997
  6. Step 6: Final answer
    x = 272,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.