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Finding the Third Proportional to 68,234 and 105,266

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Solution

The third proportional to 68,234 and 105,266 is: 162,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234 : 105,266 = 105,266 : x
  2. Step 2: Convert to fraction form
    68,234/105,266 = 105,266/x
  3. Step 3: Cross multiply
    68,234x = 105,266 × 105,266
  4. Step 4: Simplify right side
    68,234x = 11,080,930,756
  5. Step 5: Solve for x
    x = 11,080,930,756/68,234
  6. Step 6: Final answer
    x = 162,396.03

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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.