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Finding the Third Proportional to 106,456 and 166,997

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Solution

The third proportional to 106,456 and 166,997 is: 261,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456 : 166,997 = 166,997 : x
  2. Step 2: Convert to fraction form
    106,456/166,997 = 166,997/x
  3. Step 3: Cross multiply
    106,456x = 166,997 × 166,997
  4. Step 4: Simplify right side
    106,456x = 27,887,998,009
  5. Step 5: Solve for x
    x = 27,887,998,009/106,456
  6. Step 6: Final answer
    x = 261,967.37

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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.