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Finding the Third Proportional to 68,942 and 106,408

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Solution

The third proportional to 68,942 and 106,408 is: 164,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,942 : 106,408 = 106,408 : x
  2. Step 2: Convert to fraction form
    68,942/106,408 = 106,408/x
  3. Step 3: Cross multiply
    68,942x = 106,408 × 106,408
  4. Step 4: Simplify right side
    68,942x = 11,322,662,464
  5. Step 5: Solve for x
    x = 11,322,662,464/68,942
  6. Step 6: Final answer
    x = 164,234.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.