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Finding the Third Proportional to 41,586 and 90,000

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Solution

The third proportional to 41,586 and 90,000 is: 194,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586 : 90,000 = 90,000 : x
  2. Step 2: Convert to fraction form
    41,586/90,000 = 90,000/x
  3. Step 3: Cross multiply
    41,586x = 90,000 × 90,000
  4. Step 4: Simplify right side
    41,586x = 8,100,000,000
  5. Step 5: Solve for x
    x = 8,100,000,000/41,586
  6. Step 6: Final answer
    x = 194,777.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.