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Finding the Third Proportional to 106,997 and 165,591

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Solution

The third proportional to 106,997 and 165,591 is: 256,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997 : 165,591 = 165,591 : x
  2. Step 2: Convert to fraction form
    106,997/165,591 = 165,591/x
  3. Step 3: Cross multiply
    106,997x = 165,591 × 165,591
  4. Step 4: Simplify right side
    106,997x = 27,420,379,281
  5. Step 5: Solve for x
    x = 27,420,379,281/106,997
  6. Step 6: Final answer
    x = 256,272.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.