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Finding the Third Proportional to 31,259.81 and 68,259.94

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Solution

The third proportional to 31,259.81 and 68,259.94 is: 149,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259.81 : 68,259.94 = 68,259.94 : x
  2. Step 2: Convert to fraction form
    31,259.81/68,259.94 = 68,259.94/x
  3. Step 3: Cross multiply
    31,259.81x = 68,259.94 × 68,259.94
  4. Step 4: Simplify right side
    31,259.81x = 4,659,419,067.50
  5. Step 5: Solve for x
    x = 4,659,419,067.50/31,259.81
  6. Step 6: Final answer
    x = 149,054.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.