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Finding the Third Proportional to 27,125 and 58,759

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Solution

The third proportional to 27,125 and 58,759 is: 127,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,125 : 58,759 = 58,759 : x
  2. Step 2: Convert to fraction form
    27,125/58,759 = 58,759/x
  3. Step 3: Cross multiply
    27,125x = 58,759 × 58,759
  4. Step 4: Simplify right side
    27,125x = 3,452,620,081
  5. Step 5: Solve for x
    x = 3,452,620,081/27,125
  6. Step 6: Final answer
    x = 127,285.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.