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Finding the Third Proportional to 37,476 and 81,720

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Solution

The third proportional to 37,476 and 81,720 is: 178,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,476 : 81,720 = 81,720 : x
  2. Step 2: Convert to fraction form
    37,476/81,720 = 81,720/x
  3. Step 3: Cross multiply
    37,476x = 81,720 × 81,720
  4. Step 4: Simplify right side
    37,476x = 6,678,158,400
  5. Step 5: Solve for x
    x = 6,678,158,400/37,476
  6. Step 6: Final answer
    x = 178,198.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.