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Finding the Third Proportional to 81,429 and 179,427

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Solution

The third proportional to 81,429 and 179,427 is: 395,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,429 : 179,427 = 179,427 : x
  2. Step 2: Convert to fraction form
    81,429/179,427 = 179,427/x
  3. Step 3: Cross multiply
    81,429x = 179,427 × 179,427
  4. Step 4: Simplify right side
    81,429x = 32,194,048,329
  5. Step 5: Solve for x
    x = 32,194,048,329/81,429
  6. Step 6: Final answer
    x = 395,363.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.