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Finding the Third Proportional to 41,091 and 60,174

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Solution

The third proportional to 41,091 and 60,174 is: 88,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,091 : 60,174 = 60,174 : x
  2. Step 2: Convert to fraction form
    41,091/60,174 = 60,174/x
  3. Step 3: Cross multiply
    41,091x = 60,174 × 60,174
  4. Step 4: Simplify right side
    41,091x = 3,620,910,276
  5. Step 5: Solve for x
    x = 3,620,910,276/41,091
  6. Step 6: Final answer
    x = 88,119.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.