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Finding the Third Proportional to 40,188 and 84,696

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Solution

The third proportional to 40,188 and 84,696 is: 178,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,188 : 84,696 = 84,696 : x
  2. Step 2: Convert to fraction form
    40,188/84,696 = 84,696/x
  3. Step 3: Cross multiply
    40,188x = 84,696 × 84,696
  4. Step 4: Simplify right side
    40,188x = 7,173,412,416
  5. Step 5: Solve for x
    x = 7,173,412,416/40,188
  6. Step 6: Final answer
    x = 178,496.38

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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.