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Finding the Third Proportional to 33,621 and 73,156

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Solution

The third proportional to 33,621 and 73,156 is: 159,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,621 : 73,156 = 73,156 : x
  2. Step 2: Convert to fraction form
    33,621/73,156 = 73,156/x
  3. Step 3: Cross multiply
    33,621x = 73,156 × 73,156
  4. Step 4: Simplify right side
    33,621x = 5,351,800,336
  5. Step 5: Solve for x
    x = 5,351,800,336/33,621
  6. Step 6: Final answer
    x = 159,180.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.