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Finding the Third Proportional to 81,997 and 122,997

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Solution

The third proportional to 81,997 and 122,997 is: 184,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,997 : 122,997 = 122,997 : x
  2. Step 2: Convert to fraction form
    81,997/122,997 = 122,997/x
  3. Step 3: Cross multiply
    81,997x = 122,997 × 122,997
  4. Step 4: Simplify right side
    81,997x = 15,128,262,009
  5. Step 5: Solve for x
    x = 15,128,262,009/81,997
  6. Step 6: Final answer
    x = 184,497.75

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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.