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Finding the Third Proportional to 71,676 and 151,992

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Solution

The third proportional to 71,676 and 151,992 is: 322,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676 : 151,992 = 151,992 : x
  2. Step 2: Convert to fraction form
    71,676/151,992 = 151,992/x
  3. Step 3: Cross multiply
    71,676x = 151,992 × 151,992
  4. Step 4: Simplify right side
    71,676x = 23,101,568,064
  5. Step 5: Solve for x
    x = 23,101,568,064/71,676
  6. Step 6: Final answer
    x = 322,305.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.