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Finding the Third Proportional to 37,718 and 82,199

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Solution

The third proportional to 37,718 and 82,199 is: 179,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,718 : 82,199 = 82,199 : x
  2. Step 2: Convert to fraction form
    37,718/82,199 = 82,199/x
  3. Step 3: Cross multiply
    37,718x = 82,199 × 82,199
  4. Step 4: Simplify right side
    37,718x = 6,756,675,601
  5. Step 5: Solve for x
    x = 6,756,675,601/37,718
  6. Step 6: Final answer
    x = 179,136.64

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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.