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Finding the Third Proportional to 133,771.50 and 182,204.44

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Solution

The third proportional to 133,771.50 and 182,204.44 is: 248,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.50 : 182,204.44 = 182,204.44 : x
  2. Step 2: Convert to fraction form
    133,771.50/182,204.44 = 182,204.44/x
  3. Step 3: Cross multiply
    133,771.50x = 182,204.44 × 182,204.44
  4. Step 4: Simplify right side
    133,771.50x = 33,198,457,044.69
  5. Step 5: Solve for x
    x = 33,198,457,044.69/133,771.50
  6. Step 6: Final answer
    x = 248,172.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.