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Finding the Third Proportional to 121,039.50 and 258,756

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Solution

The third proportional to 121,039.50 and 258,756 is: 553,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,039.50 : 258,756 = 258,756 : x
  2. Step 2: Convert to fraction form
    121,039.50/258,756 = 258,756/x
  3. Step 3: Cross multiply
    121,039.50x = 258,756 × 258,756
  4. Step 4: Simplify right side
    121,039.50x = 66,954,667,536
  5. Step 5: Solve for x
    x = 66,954,667,536/121,039.50
  6. Step 6: Final answer
    x = 553,163.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.