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Finding the Third Proportional to 41,024 and 90,124

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Solution

The third proportional to 41,024 and 90,124 is: 197,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024 : 90,124 = 90,124 : x
  2. Step 2: Convert to fraction form
    41,024/90,124 = 90,124/x
  3. Step 3: Cross multiply
    41,024x = 90,124 × 90,124
  4. Step 4: Simplify right side
    41,024x = 8,122,335,376
  5. Step 5: Solve for x
    x = 8,122,335,376/41,024
  6. Step 6: Final answer
    x = 197,989.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.