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Finding the Third Proportional to 80,854 and 165,596

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Solution

The third proportional to 80,854 and 165,596 is: 339,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,854 : 165,596 = 165,596 : x
  2. Step 2: Convert to fraction form
    80,854/165,596 = 165,596/x
  3. Step 3: Cross multiply
    80,854x = 165,596 × 165,596
  4. Step 4: Simplify right side
    80,854x = 27,422,035,216
  5. Step 5: Solve for x
    x = 27,422,035,216/80,854
  6. Step 6: Final answer
    x = 339,154.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.