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Finding the Third Proportional to 76,961 and 115,667

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Solution

The third proportional to 76,961 and 115,667 is: 173,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961 : 115,667 = 115,667 : x
  2. Step 2: Convert to fraction form
    76,961/115,667 = 115,667/x
  3. Step 3: Cross multiply
    76,961x = 115,667 × 115,667
  4. Step 4: Simplify right side
    76,961x = 13,378,854,889
  5. Step 5: Solve for x
    x = 13,378,854,889/76,961
  6. Step 6: Final answer
    x = 173,839.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.