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Finding the Third Proportional to 50,041 and 108,830

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Solution

The third proportional to 50,041 and 108,830 is: 236,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,041 : 108,830 = 108,830 : x
  2. Step 2: Convert to fraction form
    50,041/108,830 = 108,830/x
  3. Step 3: Cross multiply
    50,041x = 108,830 × 108,830
  4. Step 4: Simplify right side
    50,041x = 11,843,968,900
  5. Step 5: Solve for x
    x = 11,843,968,900/50,041
  6. Step 6: Final answer
    x = 236,685.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.