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Finding the Third Proportional to 73,912 and 167,554

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Solution

The third proportional to 73,912 and 167,554 is: 379,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912 : 167,554 = 167,554 : x
  2. Step 2: Convert to fraction form
    73,912/167,554 = 167,554/x
  3. Step 3: Cross multiply
    73,912x = 167,554 × 167,554
  4. Step 4: Simplify right side
    73,912x = 28,074,342,916
  5. Step 5: Solve for x
    x = 28,074,342,916/73,912
  6. Step 6: Final answer
    x = 379,834.71

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.