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Finding the Third Proportional to 41,539 and 90,089

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Solution

The third proportional to 41,539 and 90,089 is: 195,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,539 : 90,089 = 90,089 : x
  2. Step 2: Convert to fraction form
    41,539/90,089 = 90,089/x
  3. Step 3: Cross multiply
    41,539x = 90,089 × 90,089
  4. Step 4: Simplify right side
    41,539x = 8,116,027,921
  5. Step 5: Solve for x
    x = 8,116,027,921/41,539
  6. Step 6: Final answer
    x = 195,383.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.