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Finding the Third Proportional to 62,085 and 129,791.25

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Solution

The third proportional to 62,085 and 129,791.25 is: 271,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,085 : 129,791.25 = 129,791.25 : x
  2. Step 2: Convert to fraction form
    62,085/129,791.25 = 129,791.25/x
  3. Step 3: Cross multiply
    62,085x = 129,791.25 × 129,791.25
  4. Step 4: Simplify right side
    62,085x = 16,845,768,576.56
  5. Step 5: Solve for x
    x = 16,845,768,576.56/62,085
  6. Step 6: Final answer
    x = 271,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.