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Finding the Third Proportional to 68,013 and 104,874.75

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Solution

The third proportional to 68,013 and 104,874.75 is: 161,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,013 : 104,874.75 = 104,874.75 : x
  2. Step 2: Convert to fraction form
    68,013/104,874.75 = 104,874.75/x
  3. Step 3: Cross multiply
    68,013x = 104,874.75 × 104,874.75
  4. Step 4: Simplify right side
    68,013x = 10,998,713,187.56
  5. Step 5: Solve for x
    x = 10,998,713,187.56/68,013
  6. Step 6: Final answer
    x = 161,714.87

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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.