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Finding the Third Proportional to 133,606 and 186,799

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Solution

The third proportional to 133,606 and 186,799 is: 261,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,606 : 186,799 = 186,799 : x
  2. Step 2: Convert to fraction form
    133,606/186,799 = 186,799/x
  3. Step 3: Cross multiply
    133,606x = 186,799 × 186,799
  4. Step 4: Simplify right side
    133,606x = 34,893,866,401
  5. Step 5: Solve for x
    x = 34,893,866,401/133,606
  6. Step 6: Final answer
    x = 261,169.91

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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.