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Finding the Third Proportional to 133,608 and 186,802

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Solution

The third proportional to 133,608 and 186,802 is: 261,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,608 : 186,802 = 186,802 : x
  2. Step 2: Convert to fraction form
    133,608/186,802 = 186,802/x
  3. Step 3: Cross multiply
    133,608x = 186,802 × 186,802
  4. Step 4: Simplify right side
    133,608x = 34,894,987,204
  5. Step 5: Solve for x
    x = 34,894,987,204/133,608
  6. Step 6: Final answer
    x = 261,174.38

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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.