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Finding the Third Proportional to 73,978 and 161,794

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Solution

The third proportional to 73,978 and 161,794 is: 353,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,978 : 161,794 = 161,794 : x
  2. Step 2: Convert to fraction form
    73,978/161,794 = 161,794/x
  3. Step 3: Cross multiply
    73,978x = 161,794 × 161,794
  4. Step 4: Simplify right side
    73,978x = 26,177,298,436
  5. Step 5: Solve for x
    x = 26,177,298,436/73,978
  6. Step 6: Final answer
    x = 353,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.