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Finding the Third Proportional to 70,077 and 167,493

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Solution

The third proportional to 70,077 and 167,493 is: 400,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077 : 167,493 = 167,493 : x
  2. Step 2: Convert to fraction form
    70,077/167,493 = 167,493/x
  3. Step 3: Cross multiply
    70,077x = 167,493 × 167,493
  4. Step 4: Simplify right side
    70,077x = 28,053,905,049
  5. Step 5: Solve for x
    x = 28,053,905,049/70,077
  6. Step 6: Final answer
    x = 400,329.71

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.