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Finding the Third Proportional to 67,443.75 and 146,787.75

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Solution

The third proportional to 67,443.75 and 146,787.75 is: 319,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,443.75 : 146,787.75 = 146,787.75 : x
  2. Step 2: Convert to fraction form
    67,443.75/146,787.75 = 146,787.75/x
  3. Step 3: Cross multiply
    67,443.75x = 146,787.75 × 146,787.75
  4. Step 4: Simplify right side
    67,443.75x = 21,546,643,550.06
  5. Step 5: Solve for x
    x = 21,546,643,550.06/67,443.75
  6. Step 6: Final answer
    x = 319,475.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.