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Finding the Third Proportional to 68,024.25 and 158,845.50

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Solution

The third proportional to 68,024.25 and 158,845.50 is: 370,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024.25 : 158,845.50 = 158,845.50 : x
  2. Step 2: Convert to fraction form
    68,024.25/158,845.50 = 158,845.50/x
  3. Step 3: Cross multiply
    68,024.25x = 158,845.50 × 158,845.50
  4. Step 4: Simplify right side
    68,024.25x = 25,231,892,870.25
  5. Step 5: Solve for x
    x = 25,231,892,870.25/68,024.25
  6. Step 6: Final answer
    x = 370,924.97

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.