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Finding the Third Proportional to 86,745.94 and 129,399.19

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Solution

The third proportional to 86,745.94 and 129,399.19 is: 193,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,745.94 : 129,399.19 = 129,399.19 : x
  2. Step 2: Convert to fraction form
    86,745.94/129,399.19 = 129,399.19/x
  3. Step 3: Cross multiply
    86,745.94x = 129,399.19 × 129,399.19
  4. Step 4: Simplify right side
    86,745.94x = 16,744,149,725.66
  5. Step 5: Solve for x
    x = 16,744,149,725.66/86,745.94
  6. Step 6: Final answer
    x = 193,025.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.