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Finding the Third Proportional to 76,759 and 161,923

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Solution

The third proportional to 76,759 and 161,923 is: 341,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759 : 161,923 = 161,923 : x
  2. Step 2: Convert to fraction form
    76,759/161,923 = 161,923/x
  3. Step 3: Cross multiply
    76,759x = 161,923 × 161,923
  4. Step 4: Simplify right side
    76,759x = 26,219,057,929
  5. Step 5: Solve for x
    x = 26,219,057,929/76,759
  6. Step 6: Final answer
    x = 341,576.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.