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Finding the Third Proportional to 70,997 and 151,467

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Solution

The third proportional to 70,997 and 151,467 is: 323,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,997 : 151,467 = 151,467 : x
  2. Step 2: Convert to fraction form
    70,997/151,467 = 151,467/x
  3. Step 3: Cross multiply
    70,997x = 151,467 × 151,467
  4. Step 4: Simplify right side
    70,997x = 22,942,252,089
  5. Step 5: Solve for x
    x = 22,942,252,089/70,997
  6. Step 6: Final answer
    x = 323,143.97

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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.