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Finding the Third Proportional to 41,776 and 91,174

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Solution

The third proportional to 41,776 and 91,174 is: 198,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,776 : 91,174 = 91,174 : x
  2. Step 2: Convert to fraction form
    41,776/91,174 = 91,174/x
  3. Step 3: Cross multiply
    41,776x = 91,174 × 91,174
  4. Step 4: Simplify right side
    41,776x = 8,312,698,276
  5. Step 5: Solve for x
    x = 8,312,698,276/41,776
  6. Step 6: Final answer
    x = 198,982.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.