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Finding the Third Proportional to 68,864 and 106,334

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Solution

The third proportional to 68,864 and 106,334 is: 164,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,864 : 106,334 = 106,334 : x
  2. Step 2: Convert to fraction form
    68,864/106,334 = 106,334/x
  3. Step 3: Cross multiply
    68,864x = 106,334 × 106,334
  4. Step 4: Simplify right side
    68,864x = 11,306,919,556
  5. Step 5: Solve for x
    x = 11,306,919,556/68,864
  6. Step 6: Final answer
    x = 164,192.02

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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.