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Finding the Third Proportional to 80,941.50 and 165,093.75

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Solution

The third proportional to 80,941.50 and 165,093.75 is: 336,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,941.50 : 165,093.75 = 165,093.75 : x
  2. Step 2: Convert to fraction form
    80,941.50/165,093.75 = 165,093.75/x
  3. Step 3: Cross multiply
    80,941.50x = 165,093.75 × 165,093.75
  4. Step 4: Simplify right side
    80,941.50x = 27,255,946,289.06
  5. Step 5: Solve for x
    x = 27,255,946,289.06/80,941.50
  6. Step 6: Final answer
    x = 336,736.36

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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.