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Finding the Third Proportional to 69,976.50 and 151,005

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Solution

The third proportional to 69,976.50 and 151,005 is: 325,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,976.50 : 151,005 = 151,005 : x
  2. Step 2: Convert to fraction form
    69,976.50/151,005 = 151,005/x
  3. Step 3: Cross multiply
    69,976.50x = 151,005 × 151,005
  4. Step 4: Simplify right side
    69,976.50x = 22,802,510,025
  5. Step 5: Solve for x
    x = 22,802,510,025/69,976.50
  6. Step 6: Final answer
    x = 325,859.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.