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Finding the Third Proportional to 31,100 and 67,112

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Solution

The third proportional to 31,100 and 67,112 is: 144,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100 : 67,112 = 67,112 : x
  2. Step 2: Convert to fraction form
    31,100/67,112 = 67,112/x
  3. Step 3: Cross multiply
    31,100x = 67,112 × 67,112
  4. Step 4: Simplify right side
    31,100x = 4,504,020,544
  5. Step 5: Solve for x
    x = 4,504,020,544/31,100
  6. Step 6: Final answer
    x = 144,823.81

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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.