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Finding the Third Proportional to 41,563.13 and 90,082.13

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Solution

The third proportional to 41,563.13 and 90,082.13 is: 195,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.13 : 90,082.13 = 90,082.13 : x
  2. Step 2: Convert to fraction form
    41,563.13/90,082.13 = 90,082.13/x
  3. Step 3: Cross multiply
    41,563.13x = 90,082.13 × 90,082.13
  4. Step 4: Simplify right side
    41,563.13x = 8,114,789,244.52
  5. Step 5: Solve for x
    x = 8,114,789,244.52/41,563.13
  6. Step 6: Final answer
    x = 195,240.11

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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.