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Finding the Third Proportional to 68,870.25 and 146,022.75

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Solution

The third proportional to 68,870.25 and 146,022.75 is: 309,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,870.25 : 146,022.75 = 146,022.75 : x
  2. Step 2: Convert to fraction form
    68,870.25/146,022.75 = 146,022.75/x
  3. Step 3: Cross multiply
    68,870.25x = 146,022.75 × 146,022.75
  4. Step 4: Simplify right side
    68,870.25x = 21,322,643,517.56
  5. Step 5: Solve for x
    x = 21,322,643,517.56/68,870.25
  6. Step 6: Final answer
    x = 309,606.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.