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Finding the Third Proportional to 68,267 and 106,859

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Solution

The third proportional to 68,267 and 106,859 is: 167,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,267 : 106,859 = 106,859 : x
  2. Step 2: Convert to fraction form
    68,267/106,859 = 106,859/x
  3. Step 3: Cross multiply
    68,267x = 106,859 × 106,859
  4. Step 4: Simplify right side
    68,267x = 11,418,845,881
  5. Step 5: Solve for x
    x = 11,418,845,881/68,267
  6. Step 6: Final answer
    x = 167,267.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.