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Finding the Third Proportional to 106,920 and 166,563

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Solution

The third proportional to 106,920 and 166,563 is: 259,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 166,563 = 166,563 : x
  2. Step 2: Convert to fraction form
    106,920/166,563 = 166,563/x
  3. Step 3: Cross multiply
    106,920x = 166,563 × 166,563
  4. Step 4: Simplify right side
    106,920x = 27,743,232,969
  5. Step 5: Solve for x
    x = 27,743,232,969/106,920
  6. Step 6: Final answer
    x = 259,476.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.