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Finding the Third Proportional to 68,025.75 and 158,851.31

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Solution

The third proportional to 68,025.75 and 158,851.31 is: 370,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,025.75 : 158,851.31 = 158,851.31 : x
  2. Step 2: Convert to fraction form
    68,025.75/158,851.31 = 158,851.31/x
  3. Step 3: Cross multiply
    68,025.75x = 158,851.31 × 158,851.31
  4. Step 4: Simplify right side
    68,025.75x = 25,233,739,482.97
  5. Step 5: Solve for x
    x = 25,233,739,482.97/68,025.75
  6. Step 6: Final answer
    x = 370,943.94

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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.