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Finding the Third Proportional to 68,905.69 and 73,651.78

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Solution

The third proportional to 68,905.69 and 73,651.78 is: 78,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,905.69 : 73,651.78 = 73,651.78 : x
  2. Step 2: Convert to fraction form
    68,905.69/73,651.78 = 73,651.78/x
  3. Step 3: Cross multiply
    68,905.69x = 73,651.78 × 73,651.78
  4. Step 4: Simplify right side
    68,905.69x = 5,424,584,881.30
  5. Step 5: Solve for x
    x = 5,424,584,881.30/68,905.69
  6. Step 6: Final answer
    x = 78,724.78

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.