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Finding the Third Proportional to 49,906.75 and 102,141.75

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Solution

The third proportional to 49,906.75 and 102,141.75 is: 209,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.75 : 102,141.75 = 102,141.75 : x
  2. Step 2: Convert to fraction form
    49,906.75/102,141.75 = 102,141.75/x
  3. Step 3: Cross multiply
    49,906.75x = 102,141.75 × 102,141.75
  4. Step 4: Simplify right side
    49,906.75x = 10,432,937,093.06
  5. Step 5: Solve for x
    x = 10,432,937,093.06/49,906.75
  6. Step 6: Final answer
    x = 209,048.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.