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Finding the Third Proportional to 67,954 and 146,366

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Solution

The third proportional to 67,954 and 146,366 is: 315,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,954 : 146,366 = 146,366 : x
  2. Step 2: Convert to fraction form
    67,954/146,366 = 146,366/x
  3. Step 3: Cross multiply
    67,954x = 146,366 × 146,366
  4. Step 4: Simplify right side
    67,954x = 21,423,005,956
  5. Step 5: Solve for x
    x = 21,423,005,956/67,954
  6. Step 6: Final answer
    x = 315,257.47

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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.