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Finding the Third Proportional to 68,123 and 106,324

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Solution

The third proportional to 68,123 and 106,324 is: 165,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,123 : 106,324 = 106,324 : x
  2. Step 2: Convert to fraction form
    68,123/106,324 = 106,324/x
  3. Step 3: Cross multiply
    68,123x = 106,324 × 106,324
  4. Step 4: Simplify right side
    68,123x = 11,304,792,976
  5. Step 5: Solve for x
    x = 11,304,792,976/68,123
  6. Step 6: Final answer
    x = 165,946.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.