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Finding the Third Proportional to 67,660.31 and 146,846.04

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Solution

The third proportional to 67,660.31 and 146,846.04 is: 318,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,660.31 : 146,846.04 = 146,846.04 : x
  2. Step 2: Convert to fraction form
    67,660.31/146,846.04 = 146,846.04/x
  3. Step 3: Cross multiply
    67,660.31x = 146,846.04 × 146,846.04
  4. Step 4: Simplify right side
    67,660.31x = 21,563,759,188.35
  5. Step 5: Solve for x
    x = 21,563,759,188.35/67,660.31
  6. Step 6: Final answer
    x = 318,706.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.