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Finding the Third Proportional to 62,751 and 134,601

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Solution

The third proportional to 62,751 and 134,601 is: 288,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,751 : 134,601 = 134,601 : x
  2. Step 2: Convert to fraction form
    62,751/134,601 = 134,601/x
  3. Step 3: Cross multiply
    62,751x = 134,601 × 134,601
  4. Step 4: Simplify right side
    62,751x = 18,117,429,201
  5. Step 5: Solve for x
    x = 18,117,429,201/62,751
  6. Step 6: Final answer
    x = 288,719.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.