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Finding the Third Proportional to 94,007 and 206,617

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Solution

The third proportional to 94,007 and 206,617 is: 454,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,007 : 206,617 = 206,617 : x
  2. Step 2: Convert to fraction form
    94,007/206,617 = 206,617/x
  3. Step 3: Cross multiply
    94,007x = 206,617 × 206,617
  4. Step 4: Simplify right side
    94,007x = 42,690,584,689
  5. Step 5: Solve for x
    x = 42,690,584,689/94,007
  6. Step 6: Final answer
    x = 454,121.34

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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.