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Finding the Third Proportional to 105,311.81 and 169,651.13

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Solution

The third proportional to 105,311.81 and 169,651.13 is: 273,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,311.81 : 169,651.13 = 169,651.13 : x
  2. Step 2: Convert to fraction form
    105,311.81/169,651.13 = 169,651.13/x
  3. Step 3: Cross multiply
    105,311.81x = 169,651.13 × 169,651.13
  4. Step 4: Simplify right side
    105,311.81x = 28,781,504,213.77
  5. Step 5: Solve for x
    x = 28,781,504,213.77/105,311.81
  6. Step 6: Final answer
    x = 273,297.97

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.