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Finding the Third Proportional to 37,167 and 81,717

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Solution

The third proportional to 37,167 and 81,717 is: 179,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167 : 81,717 = 81,717 : x
  2. Step 2: Convert to fraction form
    37,167/81,717 = 81,717/x
  3. Step 3: Cross multiply
    37,167x = 81,717 × 81,717
  4. Step 4: Simplify right side
    37,167x = 6,677,668,089
  5. Step 5: Solve for x
    x = 6,677,668,089/37,167
  6. Step 6: Final answer
    x = 179,666.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.