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Finding the Third Proportional to 50,554 and 107,660

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Solution

The third proportional to 50,554 and 107,660 is: 229,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,554 : 107,660 = 107,660 : x
  2. Step 2: Convert to fraction form
    50,554/107,660 = 107,660/x
  3. Step 3: Cross multiply
    50,554x = 107,660 × 107,660
  4. Step 4: Simplify right side
    50,554x = 11,590,675,600
  5. Step 5: Solve for x
    x = 11,590,675,600/50,554
  6. Step 6: Final answer
    x = 229,273.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.