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Finding the Third Proportional to 27,124 and 57,708

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Solution

The third proportional to 27,124 and 57,708 is: 122,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124 : 57,708 = 57,708 : x
  2. Step 2: Convert to fraction form
    27,124/57,708 = 57,708/x
  3. Step 3: Cross multiply
    27,124x = 57,708 × 57,708
  4. Step 4: Simplify right side
    27,124x = 3,330,213,264
  5. Step 5: Solve for x
    x = 3,330,213,264/27,124
  6. Step 6: Final answer
    x = 122,777.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.