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Finding the Third Proportional to 33,685 and 73,201

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Solution

The third proportional to 33,685 and 73,201 is: 159,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,685 : 73,201 = 73,201 : x
  2. Step 2: Convert to fraction form
    33,685/73,201 = 73,201/x
  3. Step 3: Cross multiply
    33,685x = 73,201 × 73,201
  4. Step 4: Simplify right side
    33,685x = 5,358,386,401
  5. Step 5: Solve for x
    x = 5,358,386,401/33,685
  6. Step 6: Final answer
    x = 159,073.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.