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Finding the Third Proportional to 81,902 and 179,194

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Solution

The third proportional to 81,902 and 179,194 is: 392,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902 : 179,194 = 179,194 : x
  2. Step 2: Convert to fraction form
    81,902/179,194 = 179,194/x
  3. Step 3: Cross multiply
    81,902x = 179,194 × 179,194
  4. Step 4: Simplify right side
    81,902x = 32,110,489,636
  5. Step 5: Solve for x
    x = 32,110,489,636/81,902
  6. Step 6: Final answer
    x = 392,059.90

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