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Finding the Third Proportional to 68,338 and 147,907

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Solution

The third proportional to 68,338 and 147,907 is: 320,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338 : 147,907 = 147,907 : x
  2. Step 2: Convert to fraction form
    68,338/147,907 = 147,907/x
  3. Step 3: Cross multiply
    68,338x = 147,907 × 147,907
  4. Step 4: Simplify right side
    68,338x = 21,876,480,649
  5. Step 5: Solve for x
    x = 21,876,480,649/68,338
  6. Step 6: Final answer
    x = 320,121.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.