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Finding the Third Proportional to 80,925 and 165,063

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Solution

The third proportional to 80,925 and 165,063 is: 336,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,925 : 165,063 = 165,063 : x
  2. Step 2: Convert to fraction form
    80,925/165,063 = 165,063/x
  3. Step 3: Cross multiply
    80,925x = 165,063 × 165,063
  4. Step 4: Simplify right side
    80,925x = 27,245,793,969
  5. Step 5: Solve for x
    x = 27,245,793,969/80,925
  6. Step 6: Final answer
    x = 336,679.57

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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.