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Finding the Third Proportional to 133,512 and 207,900

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Solution

The third proportional to 133,512 and 207,900 is: 323,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,512 : 207,900 = 207,900 : x
  2. Step 2: Convert to fraction form
    133,512/207,900 = 207,900/x
  3. Step 3: Cross multiply
    133,512x = 207,900 × 207,900
  4. Step 4: Simplify right side
    133,512x = 43,222,410,000
  5. Step 5: Solve for x
    x = 43,222,410,000/133,512
  6. Step 6: Final answer
    x = 323,734.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.