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Finding the Third Proportional to 27,869 and 60,112

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Solution

The third proportional to 27,869 and 60,112 is: 129,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869 : 60,112 = 60,112 : x
  2. Step 2: Convert to fraction form
    27,869/60,112 = 60,112/x
  3. Step 3: Cross multiply
    27,869x = 60,112 × 60,112
  4. Step 4: Simplify right side
    27,869x = 3,613,452,544
  5. Step 5: Solve for x
    x = 3,613,452,544/27,869
  6. Step 6: Final answer
    x = 129,658.49

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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.