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Finding the Third Proportional to 68,510.81 and 122,244.19

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Solution

The third proportional to 68,510.81 and 122,244.19 is: 218,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,510.81 : 122,244.19 = 122,244.19 : x
  2. Step 2: Convert to fraction form
    68,510.81/122,244.19 = 122,244.19/x
  3. Step 3: Cross multiply
    68,510.81x = 122,244.19 × 122,244.19
  4. Step 4: Simplify right side
    68,510.81x = 14,943,641,377.54
  5. Step 5: Solve for x
    x = 14,943,641,377.54/68,510.81
  6. Step 6: Final answer
    x = 218,120.92

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.