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Finding the Third Proportional to 73,768.50 and 158,284.50

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Solution

The third proportional to 73,768.50 and 158,284.50 is: 339,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,768.50 : 158,284.50 = 158,284.50 : x
  2. Step 2: Convert to fraction form
    73,768.50/158,284.50 = 158,284.50/x
  3. Step 3: Cross multiply
    73,768.50x = 158,284.50 × 158,284.50
  4. Step 4: Simplify right side
    73,768.50x = 25,053,982,940.25
  5. Step 5: Solve for x
    x = 25,053,982,940.25/73,768.50
  6. Step 6: Final answer
    x = 339,629.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.