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Finding the Third Proportional to 68,809.50 and 142,338.56

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Solution

The third proportional to 68,809.50 and 142,338.56 is: 294,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,809.50 : 142,338.56 = 142,338.56 : x
  2. Step 2: Convert to fraction form
    68,809.50/142,338.56 = 142,338.56/x
  3. Step 3: Cross multiply
    68,809.50x = 142,338.56 × 142,338.56
  4. Step 4: Simplify right side
    68,809.50x = 20,260,266,374.57
  5. Step 5: Solve for x
    x = 20,260,266,374.57/68,809.50
  6. Step 6: Final answer
    x = 294,439.96

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.