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Finding the Third Proportional to 33,402 and 79,131

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Solution

The third proportional to 33,402 and 79,131 is: 187,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402 : 79,131 = 79,131 : x
  2. Step 2: Convert to fraction form
    33,402/79,131 = 79,131/x
  3. Step 3: Cross multiply
    33,402x = 79,131 × 79,131
  4. Step 4: Simplify right side
    33,402x = 6,261,715,161
  5. Step 5: Solve for x
    x = 6,261,715,161/33,402
  6. Step 6: Final answer
    x = 187,465.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.