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Finding the Third Proportional to 80,946 and 165,104

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Solution

The third proportional to 80,946 and 165,104 is: 336,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 165,104 = 165,104 : x
  2. Step 2: Convert to fraction form
    80,946/165,104 = 165,104/x
  3. Step 3: Cross multiply
    80,946x = 165,104 × 165,104
  4. Step 4: Simplify right side
    80,946x = 27,259,330,816
  5. Step 5: Solve for x
    x = 27,259,330,816/80,946
  6. Step 6: Final answer
    x = 336,759.45

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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.