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Finding the Third Proportional to 74,447 and 161,193

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Solution

The third proportional to 74,447 and 161,193 is: 349,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,447 : 161,193 = 161,193 : x
  2. Step 2: Convert to fraction form
    74,447/161,193 = 161,193/x
  3. Step 3: Cross multiply
    74,447x = 161,193 × 161,193
  4. Step 4: Simplify right side
    74,447x = 25,983,183,249
  5. Step 5: Solve for x
    x = 25,983,183,249/74,447
  6. Step 6: Final answer
    x = 349,015.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.