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Finding the Third Proportional to 32,198 and 69,755

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Solution

The third proportional to 32,198 and 69,755 is: 151,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198 : 69,755 = 69,755 : x
  2. Step 2: Convert to fraction form
    32,198/69,755 = 69,755/x
  3. Step 3: Cross multiply
    32,198x = 69,755 × 69,755
  4. Step 4: Simplify right side
    32,198x = 4,865,760,025
  5. Step 5: Solve for x
    x = 4,865,760,025/32,198
  6. Step 6: Final answer
    x = 151,119.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.