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Finding the Third Proportional to 106,980 and 165,561

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Solution

The third proportional to 106,980 and 165,561 is: 256,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980 : 165,561 = 165,561 : x
  2. Step 2: Convert to fraction form
    106,980/165,561 = 165,561/x
  3. Step 3: Cross multiply
    106,980x = 165,561 × 165,561
  4. Step 4: Simplify right side
    106,980x = 27,410,444,721
  5. Step 5: Solve for x
    x = 27,410,444,721/106,980
  6. Step 6: Final answer
    x = 256,220.27

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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.