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Finding the Third Proportional to 47,736 and 102,112

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Solution

The third proportional to 47,736 and 102,112 is: 218,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,736 : 102,112 = 102,112 : x
  2. Step 2: Convert to fraction form
    47,736/102,112 = 102,112/x
  3. Step 3: Cross multiply
    47,736x = 102,112 × 102,112
  4. Step 4: Simplify right side
    47,736x = 10,426,860,544
  5. Step 5: Solve for x
    x = 10,426,860,544/47,736
  6. Step 6: Final answer
    x = 218,427.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.