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Finding the Third Proportional to 27,277 and 59,759

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Solution

The third proportional to 27,277 and 59,759 is: 130,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277 : 59,759 = 59,759 : x
  2. Step 2: Convert to fraction form
    27,277/59,759 = 59,759/x
  3. Step 3: Cross multiply
    27,277x = 59,759 × 59,759
  4. Step 4: Simplify right side
    27,277x = 3,571,138,081
  5. Step 5: Solve for x
    x = 3,571,138,081/27,277
  6. Step 6: Final answer
    x = 130,921.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.