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Finding the Third Proportional to 72,933 and 161,175

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Solution

The third proportional to 72,933 and 161,175 is: 356,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,933 : 161,175 = 161,175 : x
  2. Step 2: Convert to fraction form
    72,933/161,175 = 161,175/x
  3. Step 3: Cross multiply
    72,933x = 161,175 × 161,175
  4. Step 4: Simplify right side
    72,933x = 25,977,380,625
  5. Step 5: Solve for x
    x = 25,977,380,625/72,933
  6. Step 6: Final answer
    x = 356,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.