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Finding the Third Proportional to 50,018 and 108,622

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Solution

The third proportional to 50,018 and 108,622 is: 235,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,018 : 108,622 = 108,622 : x
  2. Step 2: Convert to fraction form
    50,018/108,622 = 108,622/x
  3. Step 3: Cross multiply
    50,018x = 108,622 × 108,622
  4. Step 4: Simplify right side
    50,018x = 11,798,738,884
  5. Step 5: Solve for x
    x = 11,798,738,884/50,018
  6. Step 6: Final answer
    x = 235,889.86

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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.