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Finding the Third Proportional to 80,717.50 and 164,720

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Solution

The third proportional to 80,717.50 and 164,720 is: 336,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,717.50 : 164,720 = 164,720 : x
  2. Step 2: Convert to fraction form
    80,717.50/164,720 = 164,720/x
  3. Step 3: Cross multiply
    80,717.50x = 164,720 × 164,720
  4. Step 4: Simplify right side
    80,717.50x = 27,132,678,400
  5. Step 5: Solve for x
    x = 27,132,678,400/80,717.50
  6. Step 6: Final answer
    x = 336,143.69

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.