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Finding the Third Proportional to 48,443 and 108,226

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Solution

The third proportional to 48,443 and 108,226 is: 241,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,443 : 108,226 = 108,226 : x
  2. Step 2: Convert to fraction form
    48,443/108,226 = 108,226/x
  3. Step 3: Cross multiply
    48,443x = 108,226 × 108,226
  4. Step 4: Simplify right side
    48,443x = 11,712,867,076
  5. Step 5: Solve for x
    x = 11,712,867,076/48,443
  6. Step 6: Final answer
    x = 241,786.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.