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Finding the Third Proportional to 94,021 and 206,645

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Solution

The third proportional to 94,021 and 206,645 is: 454,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,021 : 206,645 = 206,645 : x
  2. Step 2: Convert to fraction form
    94,021/206,645 = 206,645/x
  3. Step 3: Cross multiply
    94,021x = 206,645 × 206,645
  4. Step 4: Simplify right side
    94,021x = 42,702,156,025
  5. Step 5: Solve for x
    x = 42,702,156,025/94,021
  6. Step 6: Final answer
    x = 454,176.79

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Why These Related Problems?

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