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Finding the Third Proportional to 32,238 and 67,392

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Solution

The third proportional to 32,238 and 67,392 is: 140,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238 : 67,392 = 67,392 : x
  2. Step 2: Convert to fraction form
    32,238/67,392 = 67,392/x
  3. Step 3: Cross multiply
    32,238x = 67,392 × 67,392
  4. Step 4: Simplify right side
    32,238x = 4,541,681,664
  5. Step 5: Solve for x
    x = 4,541,681,664/32,238
  6. Step 6: Final answer
    x = 140,879.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.