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Finding the Third Proportional to 47,472 and 102,696

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Solution

The third proportional to 47,472 and 102,696 is: 222,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472 : 102,696 = 102,696 : x
  2. Step 2: Convert to fraction form
    47,472/102,696 = 102,696/x
  3. Step 3: Cross multiply
    47,472x = 102,696 × 102,696
  4. Step 4: Simplify right side
    47,472x = 10,546,468,416
  5. Step 5: Solve for x
    x = 10,546,468,416/47,472
  6. Step 6: Final answer
    x = 222,161.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.