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Finding the Third Proportional to 43,226 and 94,025

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Solution

The third proportional to 43,226 and 94,025 is: 204,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,226 : 94,025 = 94,025 : x
  2. Step 2: Convert to fraction form
    43,226/94,025 = 94,025/x
  3. Step 3: Cross multiply
    43,226x = 94,025 × 94,025
  4. Step 4: Simplify right side
    43,226x = 8,840,700,625
  5. Step 5: Solve for x
    x = 8,840,700,625/43,226
  6. Step 6: Final answer
    x = 204,522.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.