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Finding the Third Proportional to 49,405 and 108,179

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Solution

The third proportional to 49,405 and 108,179 is: 236,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,405 : 108,179 = 108,179 : x
  2. Step 2: Convert to fraction form
    49,405/108,179 = 108,179/x
  3. Step 3: Cross multiply
    49,405x = 108,179 × 108,179
  4. Step 4: Simplify right side
    49,405x = 11,702,696,041
  5. Step 5: Solve for x
    x = 11,702,696,041/49,405
  6. Step 6: Final answer
    x = 236,872.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.