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Finding the Third Proportional to 68,815 and 151,162

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Solution

The third proportional to 68,815 and 151,162 is: 332,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,815 : 151,162 = 151,162 : x
  2. Step 2: Convert to fraction form
    68,815/151,162 = 151,162/x
  3. Step 3: Cross multiply
    68,815x = 151,162 × 151,162
  4. Step 4: Simplify right side
    68,815x = 22,849,950,244
  5. Step 5: Solve for x
    x = 22,849,950,244/68,815
  6. Step 6: Final answer
    x = 332,048.98

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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.