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Finding the Third Proportional to 63,997 and 137,805

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Solution

The third proportional to 63,997 and 137,805 is: 296,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,997 : 137,805 = 137,805 : x
  2. Step 2: Convert to fraction form
    63,997/137,805 = 137,805/x
  3. Step 3: Cross multiply
    63,997x = 137,805 × 137,805
  4. Step 4: Simplify right side
    63,997x = 18,990,218,025
  5. Step 5: Solve for x
    x = 18,990,218,025/63,997
  6. Step 6: Final answer
    x = 296,736.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.