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Finding the Third Proportional to 94,959 and 206,094

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Solution

The third proportional to 94,959 and 206,094 is: 447,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,959 : 206,094 = 206,094 : x
  2. Step 2: Convert to fraction form
    94,959/206,094 = 206,094/x
  3. Step 3: Cross multiply
    94,959x = 206,094 × 206,094
  4. Step 4: Simplify right side
    94,959x = 42,474,736,836
  5. Step 5: Solve for x
    x = 42,474,736,836/94,959
  6. Step 6: Final answer
    x = 447,295.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.