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Finding the Third Proportional to 71,934 and 158,144

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Solution

The third proportional to 71,934 and 158,144 is: 347,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,934 : 158,144 = 158,144 : x
  2. Step 2: Convert to fraction form
    71,934/158,144 = 158,144/x
  3. Step 3: Cross multiply
    71,934x = 158,144 × 158,144
  4. Step 4: Simplify right side
    71,934x = 25,009,524,736
  5. Step 5: Solve for x
    x = 25,009,524,736/71,934
  6. Step 6: Final answer
    x = 347,673.21

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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.