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Finding the Third Proportional to 41,558 and 90,082

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Solution

The third proportional to 41,558 and 90,082 is: 195,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,558 : 90,082 = 90,082 : x
  2. Step 2: Convert to fraction form
    41,558/90,082 = 90,082/x
  3. Step 3: Cross multiply
    41,558x = 90,082 × 90,082
  4. Step 4: Simplify right side
    41,558x = 8,114,766,724
  5. Step 5: Solve for x
    x = 8,114,766,724/41,558
  6. Step 6: Final answer
    x = 195,263.65

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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.