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Finding the Third Proportional to 76,997 and 160,042

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Solution

The third proportional to 76,997 and 160,042 is: 332,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997 : 160,042 = 160,042 : x
  2. Step 2: Convert to fraction form
    76,997/160,042 = 160,042/x
  3. Step 3: Cross multiply
    76,997x = 160,042 × 160,042
  4. Step 4: Simplify right side
    76,997x = 25,613,441,764
  5. Step 5: Solve for x
    x = 25,613,441,764/76,997
  6. Step 6: Final answer
    x = 332,655.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.