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Finding the Third Proportional to 68,338 and 140,078

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Solution

The third proportional to 68,338 and 140,078 is: 287,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338 : 140,078 = 140,078 : x
  2. Step 2: Convert to fraction form
    68,338/140,078 = 140,078/x
  3. Step 3: Cross multiply
    68,338x = 140,078 × 140,078
  4. Step 4: Simplify right side
    68,338x = 19,621,846,084
  5. Step 5: Solve for x
    x = 19,621,846,084/68,338
  6. Step 6: Final answer
    x = 287,129.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.