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Finding the Third Proportional to 69,519.50 and 151,796

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Solution

The third proportional to 69,519.50 and 151,796 is: 331,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,519.50 : 151,796 = 151,796 : x
  2. Step 2: Convert to fraction form
    69,519.50/151,796 = 151,796/x
  3. Step 3: Cross multiply
    69,519.50x = 151,796 × 151,796
  4. Step 4: Simplify right side
    69,519.50x = 23,042,025,616
  5. Step 5: Solve for x
    x = 23,042,025,616/69,519.50
  6. Step 6: Final answer
    x = 331,446.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.