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Finding the Third Proportional to 75,967 and 156,793

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Solution

The third proportional to 75,967 and 156,793 is: 323,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967 : 156,793 = 156,793 : x
  2. Step 2: Convert to fraction form
    75,967/156,793 = 156,793/x
  3. Step 3: Cross multiply
    75,967x = 156,793 × 156,793
  4. Step 4: Simplify right side
    75,967x = 24,584,044,849
  5. Step 5: Solve for x
    x = 24,584,044,849/75,967
  6. Step 6: Final answer
    x = 323,614.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.