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Finding the Third Proportional to 73,027 and 156,973

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Solution

The third proportional to 73,027 and 156,973 is: 337,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,027 : 156,973 = 156,973 : x
  2. Step 2: Convert to fraction form
    73,027/156,973 = 156,973/x
  3. Step 3: Cross multiply
    73,027x = 156,973 × 156,973
  4. Step 4: Simplify right side
    73,027x = 24,640,522,729
  5. Step 5: Solve for x
    x = 24,640,522,729/73,027
  6. Step 6: Final answer
    x = 337,416.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.