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Finding the Third Proportional to 133,962 and 187,299

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Solution

The third proportional to 133,962 and 187,299 is: 261,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 187,299 = 187,299 : x
  2. Step 2: Convert to fraction form
    133,962/187,299 = 187,299/x
  3. Step 3: Cross multiply
    133,962x = 187,299 × 187,299
  4. Step 4: Simplify right side
    133,962x = 35,080,915,401
  5. Step 5: Solve for x
    x = 35,080,915,401/133,962
  6. Step 6: Final answer
    x = 261,872.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.