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Finding the Third Proportional to 73,859 and 161,086

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Solution

The third proportional to 73,859 and 161,086 is: 351,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,859 : 161,086 = 161,086 : x
  2. Step 2: Convert to fraction form
    73,859/161,086 = 161,086/x
  3. Step 3: Cross multiply
    73,859x = 161,086 × 161,086
  4. Step 4: Simplify right side
    73,859x = 25,948,699,396
  5. Step 5: Solve for x
    x = 25,948,699,396/73,859
  6. Step 6: Final answer
    x = 351,327.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.