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Finding the Third Proportional to 68,338 and 106,059

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Solution

The third proportional to 68,338 and 106,059 is: 164,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338 : 106,059 = 106,059 : x
  2. Step 2: Convert to fraction form
    68,338/106,059 = 106,059/x
  3. Step 3: Cross multiply
    68,338x = 106,059 × 106,059
  4. Step 4: Simplify right side
    68,338x = 11,248,511,481
  5. Step 5: Solve for x
    x = 11,248,511,481/68,338
  6. Step 6: Final answer
    x = 164,601.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.