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Finding the Third Proportional to 41,257 and 90,242

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Solution

The third proportional to 41,257 and 90,242 is: 197,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257 : 90,242 = 90,242 : x
  2. Step 2: Convert to fraction form
    41,257/90,242 = 90,242/x
  3. Step 3: Cross multiply
    41,257x = 90,242 × 90,242
  4. Step 4: Simplify right side
    41,257x = 8,143,618,564
  5. Step 5: Solve for x
    x = 8,143,618,564/41,257
  6. Step 6: Final answer
    x = 197,387.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.