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Finding the Third Proportional to 94,124 and 206,680

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Solution

The third proportional to 94,124 and 206,680 is: 453,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,124 : 206,680 = 206,680 : x
  2. Step 2: Convert to fraction form
    94,124/206,680 = 206,680/x
  3. Step 3: Cross multiply
    94,124x = 206,680 × 206,680
  4. Step 4: Simplify right side
    94,124x = 42,716,622,400
  5. Step 5: Solve for x
    x = 42,716,622,400/94,124
  6. Step 6: Final answer
    x = 453,833.48

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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.