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Finding the Third Proportional to 62,301.75 and 132,759

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Solution

The third proportional to 62,301.75 and 132,759 is: 282,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,301.75 : 132,759 = 132,759 : x
  2. Step 2: Convert to fraction form
    62,301.75/132,759 = 132,759/x
  3. Step 3: Cross multiply
    62,301.75x = 132,759 × 132,759
  4. Step 4: Simplify right side
    62,301.75x = 17,624,952,081
  5. Step 5: Solve for x
    x = 17,624,952,081/62,301.75
  6. Step 6: Final answer
    x = 282,896.58

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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.