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Finding the Third Proportional to 41,174 and 87,668

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Solution

The third proportional to 41,174 and 87,668 is: 186,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174 : 87,668 = 87,668 : x
  2. Step 2: Convert to fraction form
    41,174/87,668 = 87,668/x
  3. Step 3: Cross multiply
    41,174x = 87,668 × 87,668
  4. Step 4: Simplify right side
    41,174x = 7,685,678,224
  5. Step 5: Solve for x
    x = 7,685,678,224/41,174
  6. Step 6: Final answer
    x = 186,663.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.