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Finding the Third Proportional to 41,159 and 90,886

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Solution

The third proportional to 41,159 and 90,886 is: 200,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,159 : 90,886 = 90,886 : x
  2. Step 2: Convert to fraction form
    41,159/90,886 = 90,886/x
  3. Step 3: Cross multiply
    41,159x = 90,886 × 90,886
  4. Step 4: Simplify right side
    41,159x = 8,260,264,996
  5. Step 5: Solve for x
    x = 8,260,264,996/41,159
  6. Step 6: Final answer
    x = 200,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.