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Finding the Third Proportional to 20,138 and 42,112

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Solution

The third proportional to 20,138 and 42,112 is: 88,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 42,112 = 42,112 : x
  2. Step 2: Convert to fraction form
    20,138/42,112 = 42,112/x
  3. Step 3: Cross multiply
    20,138x = 42,112 × 42,112
  4. Step 4: Simplify right side
    20,138x = 1,773,420,544
  5. Step 5: Solve for x
    x = 1,773,420,544/20,138
  6. Step 6: Final answer
    x = 88,063.39

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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.