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Finding the Third Proportional to 68,181.75 and 145,839.75

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Solution

The third proportional to 68,181.75 and 145,839.75 is: 311,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181.75 : 145,839.75 = 145,839.75 : x
  2. Step 2: Convert to fraction form
    68,181.75/145,839.75 = 145,839.75/x
  3. Step 3: Cross multiply
    68,181.75x = 145,839.75 × 145,839.75
  4. Step 4: Simplify right side
    68,181.75x = 21,269,232,680.06
  5. Step 5: Solve for x
    x = 21,269,232,680.06/68,181.75
  6. Step 6: Final answer
    x = 311,949.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.