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Finding the Third Proportional to 68,832 and 100,757

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Solution

The third proportional to 68,832 and 100,757 is: 147,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,832 : 100,757 = 100,757 : x
  2. Step 2: Convert to fraction form
    68,832/100,757 = 100,757/x
  3. Step 3: Cross multiply
    68,832x = 100,757 × 100,757
  4. Step 4: Simplify right side
    68,832x = 10,151,973,049
  5. Step 5: Solve for x
    x = 10,151,973,049/68,832
  6. Step 6: Final answer
    x = 147,489.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.