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Finding the Third Proportional to 110,608 and 165,912

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Solution

The third proportional to 110,608 and 165,912 is: 248,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,608 : 165,912 = 165,912 : x
  2. Step 2: Convert to fraction form
    110,608/165,912 = 165,912/x
  3. Step 3: Cross multiply
    110,608x = 165,912 × 165,912
  4. Step 4: Simplify right side
    110,608x = 27,526,791,744
  5. Step 5: Solve for x
    x = 27,526,791,744/110,608
  6. Step 6: Final answer
    x = 248,868

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.