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Finding the Third Proportional to 73,611 and 161,194

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Solution

The third proportional to 73,611 and 161,194 is: 352,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,611 : 161,194 = 161,194 : x
  2. Step 2: Convert to fraction form
    73,611/161,194 = 161,194/x
  3. Step 3: Cross multiply
    73,611x = 161,194 × 161,194
  4. Step 4: Simplify right side
    73,611x = 25,983,505,636
  5. Step 5: Solve for x
    x = 25,983,505,636/73,611
  6. Step 6: Final answer
    x = 352,984.01

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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.