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Finding the Third Proportional to 68,736 and 104,544

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Solution

The third proportional to 68,736 and 104,544 is: 159,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,736 : 104,544 = 104,544 : x
  2. Step 2: Convert to fraction form
    68,736/104,544 = 104,544/x
  3. Step 3: Cross multiply
    68,736x = 104,544 × 104,544
  4. Step 4: Simplify right side
    68,736x = 10,929,447,936
  5. Step 5: Solve for x
    x = 10,929,447,936/68,736
  6. Step 6: Final answer
    x = 159,006.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.