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Finding the Third Proportional to 50,986 and 110,174

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Solution

The third proportional to 50,986 and 110,174 is: 238,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986 : 110,174 = 110,174 : x
  2. Step 2: Convert to fraction form
    50,986/110,174 = 110,174/x
  3. Step 3: Cross multiply
    50,986x = 110,174 × 110,174
  4. Step 4: Simplify right side
    50,986x = 12,138,310,276
  5. Step 5: Solve for x
    x = 12,138,310,276/50,986
  6. Step 6: Final answer
    x = 238,071.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.