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Finding the Third Proportional to 80,938 and 165,084

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Solution

The third proportional to 80,938 and 165,084 is: 336,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,938 : 165,084 = 165,084 : x
  2. Step 2: Convert to fraction form
    80,938/165,084 = 165,084/x
  3. Step 3: Cross multiply
    80,938x = 165,084 × 165,084
  4. Step 4: Simplify right side
    80,938x = 27,252,727,056
  5. Step 5: Solve for x
    x = 27,252,727,056/80,938
  6. Step 6: Final answer
    x = 336,711.15

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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.