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Finding the Third Proportional to 69,270.19 and 149,226.05

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Solution

The third proportional to 69,270.19 and 149,226.05 is: 321,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,270.19 : 149,226.05 = 149,226.05 : x
  2. Step 2: Convert to fraction form
    69,270.19/149,226.05 = 149,226.05/x
  3. Step 3: Cross multiply
    69,270.19x = 149,226.05 × 149,226.05
  4. Step 4: Simplify right side
    69,270.19x = 22,268,413,065.94
  5. Step 5: Solve for x
    x = 22,268,413,065.94/69,270.19
  6. Step 6: Final answer
    x = 321,471.82

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