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Finding the Third Proportional to 106,997 and 165,587

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Solution

The third proportional to 106,997 and 165,587 is: 256,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997 : 165,587 = 165,587 : x
  2. Step 2: Convert to fraction form
    106,997/165,587 = 165,587/x
  3. Step 3: Cross multiply
    106,997x = 165,587 × 165,587
  4. Step 4: Simplify right side
    106,997x = 27,419,054,569
  5. Step 5: Solve for x
    x = 27,419,054,569/106,997
  6. Step 6: Final answer
    x = 256,260.03

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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.