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Finding the Third Proportional to 49,627 and 108,177

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Solution

The third proportional to 49,627 and 108,177 is: 235,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,627 : 108,177 = 108,177 : x
  2. Step 2: Convert to fraction form
    49,627/108,177 = 108,177/x
  3. Step 3: Cross multiply
    49,627x = 108,177 × 108,177
  4. Step 4: Simplify right side
    49,627x = 11,702,263,329
  5. Step 5: Solve for x
    x = 11,702,263,329/49,627
  6. Step 6: Final answer
    x = 235,804.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.