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Finding the Third Proportional to 31,773.94 and 69,081.19

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Solution

The third proportional to 31,773.94 and 69,081.19 is: 150,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.94 : 69,081.19 = 69,081.19 : x
  2. Step 2: Convert to fraction form
    31,773.94/69,081.19 = 69,081.19/x
  3. Step 3: Cross multiply
    31,773.94x = 69,081.19 × 69,081.19
  4. Step 4: Simplify right side
    31,773.94x = 4,772,210,466.41
  5. Step 5: Solve for x
    x = 4,772,210,466.41/31,773.94
  6. Step 6: Final answer
    x = 150,192.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.