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Finding the Third Proportional to 69,086.25 and 105,634.13

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Solution

The third proportional to 69,086.25 and 105,634.13 is: 161,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,086.25 : 105,634.13 = 105,634.13 : x
  2. Step 2: Convert to fraction form
    69,086.25/105,634.13 = 105,634.13/x
  3. Step 3: Cross multiply
    69,086.25x = 105,634.13 × 105,634.13
  4. Step 4: Simplify right side
    69,086.25x = 11,158,568,364.52
  5. Step 5: Solve for x
    x = 11,158,568,364.52/69,086.25
  6. Step 6: Final answer
    x = 161,516.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.