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Finding the Third Proportional to 33,137 and 71,217

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Solution

The third proportional to 33,137 and 71,217 is: 153,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137 : 71,217 = 71,217 : x
  2. Step 2: Convert to fraction form
    33,137/71,217 = 71,217/x
  3. Step 3: Cross multiply
    33,137x = 71,217 × 71,217
  4. Step 4: Simplify right side
    33,137x = 5,071,861,089
  5. Step 5: Solve for x
    x = 5,071,861,089/33,137
  6. Step 6: Final answer
    x = 153,057.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.