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Finding the Third Proportional to 40,192 and 84,704

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Solution

The third proportional to 40,192 and 84,704 is: 178,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,192 : 84,704 = 84,704 : x
  2. Step 2: Convert to fraction form
    40,192/84,704 = 84,704/x
  3. Step 3: Cross multiply
    40,192x = 84,704 × 84,704
  4. Step 4: Simplify right side
    40,192x = 7,174,767,616
  5. Step 5: Solve for x
    x = 7,174,767,616/40,192
  6. Step 6: Final answer
    x = 178,512.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.