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Finding the Third Proportional to 68,868 and 104,676

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Solution

The third proportional to 68,868 and 104,676 is: 159,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,868 : 104,676 = 104,676 : x
  2. Step 2: Convert to fraction form
    68,868/104,676 = 104,676/x
  3. Step 3: Cross multiply
    68,868x = 104,676 × 104,676
  4. Step 4: Simplify right side
    68,868x = 10,957,064,976
  5. Step 5: Solve for x
    x = 10,957,064,976/68,868
  6. Step 6: Final answer
    x = 159,102.41

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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.