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Finding the Third Proportional to 96,000 and 206,716

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Solution

The third proportional to 96,000 and 206,716 is: 445,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000 : 206,716 = 206,716 : x
  2. Step 2: Convert to fraction form
    96,000/206,716 = 206,716/x
  3. Step 3: Cross multiply
    96,000x = 206,716 × 206,716
  4. Step 4: Simplify right side
    96,000x = 42,731,504,656
  5. Step 5: Solve for x
    x = 42,731,504,656/96,000
  6. Step 6: Final answer
    x = 445,119.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.