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Finding the Third Proportional to 69,260.06 and 149,113.41

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Solution

The third proportional to 69,260.06 and 149,113.41 is: 321,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,260.06 : 149,113.41 = 149,113.41 : x
  2. Step 2: Convert to fraction form
    69,260.06/149,113.41 = 149,113.41/x
  3. Step 3: Cross multiply
    69,260.06x = 149,113.41 × 149,113.41
  4. Step 4: Simplify right side
    69,260.06x = 22,234,807,923.48
  5. Step 5: Solve for x
    x = 22,234,807,923.48/69,260.06
  6. Step 6: Final answer
    x = 321,033.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.