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Finding the Third Proportional to 34,212 and 71,112

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Solution

The third proportional to 34,212 and 71,112 is: 147,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,212 : 71,112 = 71,112 : x
  2. Step 2: Convert to fraction form
    34,212/71,112 = 71,112/x
  3. Step 3: Cross multiply
    34,212x = 71,112 × 71,112
  4. Step 4: Simplify right side
    34,212x = 5,056,916,544
  5. Step 5: Solve for x
    x = 5,056,916,544/34,212
  6. Step 6: Final answer
    x = 147,811.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.