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Finding the Third Proportional to 68,800 and 160,864

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Solution

The third proportional to 68,800 and 160,864 is: 376,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800 : 160,864 = 160,864 : x
  2. Step 2: Convert to fraction form
    68,800/160,864 = 160,864/x
  3. Step 3: Cross multiply
    68,800x = 160,864 × 160,864
  4. Step 4: Simplify right side
    68,800x = 25,877,226,496
  5. Step 5: Solve for x
    x = 25,877,226,496/68,800
  6. Step 6: Final answer
    x = 376,122.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.