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Finding the Third Proportional to 68,279 and 142,008

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Solution

The third proportional to 68,279 and 142,008 is: 295,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,279 : 142,008 = 142,008 : x
  2. Step 2: Convert to fraction form
    68,279/142,008 = 142,008/x
  3. Step 3: Cross multiply
    68,279x = 142,008 × 142,008
  4. Step 4: Simplify right side
    68,279x = 20,166,272,064
  5. Step 5: Solve for x
    x = 20,166,272,064/68,279
  6. Step 6: Final answer
    x = 295,351.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.