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Finding the Third Proportional to 32,165 and 69,831

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Solution

The third proportional to 32,165 and 69,831 is: 151,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165 : 69,831 = 69,831 : x
  2. Step 2: Convert to fraction form
    32,165/69,831 = 69,831/x
  3. Step 3: Cross multiply
    32,165x = 69,831 × 69,831
  4. Step 4: Simplify right side
    32,165x = 4,876,368,561
  5. Step 5: Solve for x
    x = 4,876,368,561/32,165
  6. Step 6: Final answer
    x = 151,604.81

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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.