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Finding the Third Proportional to 94,141 and 206,941

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Solution

The third proportional to 94,141 and 206,941 is: 454,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,141 : 206,941 = 206,941 : x
  2. Step 2: Convert to fraction form
    94,141/206,941 = 206,941/x
  3. Step 3: Cross multiply
    94,141x = 206,941 × 206,941
  4. Step 4: Simplify right side
    94,141x = 42,824,577,481
  5. Step 5: Solve for x
    x = 42,824,577,481/94,141
  6. Step 6: Final answer
    x = 454,898.26

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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.