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Finding the Third Proportional to 68,016 and 146,472

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Solution

The third proportional to 68,016 and 146,472 is: 315,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016 : 146,472 = 146,472 : x
  2. Step 2: Convert to fraction form
    68,016/146,472 = 146,472/x
  3. Step 3: Cross multiply
    68,016x = 146,472 × 146,472
  4. Step 4: Simplify right side
    68,016x = 21,454,046,784
  5. Step 5: Solve for x
    x = 21,454,046,784/68,016
  6. Step 6: Final answer
    x = 315,426.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.