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Finding the Third Proportional to 133,066 and 199,599

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Solution

The third proportional to 133,066 and 199,599 is: 299,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066 : 199,599 = 199,599 : x
  2. Step 2: Convert to fraction form
    133,066/199,599 = 199,599/x
  3. Step 3: Cross multiply
    133,066x = 199,599 × 199,599
  4. Step 4: Simplify right side
    133,066x = 39,839,760,801
  5. Step 5: Solve for x
    x = 39,839,760,801/133,066
  6. Step 6: Final answer
    x = 299,398.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.