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Finding the Third Proportional to 80,944 and 165,100

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Solution

The third proportional to 80,944 and 165,100 is: 336,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,944 : 165,100 = 165,100 : x
  2. Step 2: Convert to fraction form
    80,944/165,100 = 165,100/x
  3. Step 3: Cross multiply
    80,944x = 165,100 × 165,100
  4. Step 4: Simplify right side
    80,944x = 27,258,010,000
  5. Step 5: Solve for x
    x = 27,258,010,000/80,944
  6. Step 6: Final answer
    x = 336,751.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.