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Finding the Third Proportional to 94,082 and 206,596

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Solution

The third proportional to 94,082 and 206,596 is: 453,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,082 : 206,596 = 206,596 : x
  2. Step 2: Convert to fraction form
    94,082/206,596 = 206,596/x
  3. Step 3: Cross multiply
    94,082x = 206,596 × 206,596
  4. Step 4: Simplify right side
    94,082x = 42,681,907,216
  5. Step 5: Solve for x
    x = 42,681,907,216/94,082
  6. Step 6: Final answer
    x = 453,667.09

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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.