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Finding the Third Proportional to 68,106 and 158,266

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Solution

The third proportional to 68,106 and 158,266 is: 367,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106 : 158,266 = 158,266 : x
  2. Step 2: Convert to fraction form
    68,106/158,266 = 158,266/x
  3. Step 3: Cross multiply
    68,106x = 158,266 × 158,266
  4. Step 4: Simplify right side
    68,106x = 25,048,126,756
  5. Step 5: Solve for x
    x = 25,048,126,756/68,106
  6. Step 6: Final answer
    x = 367,781.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.