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Finding the Third Proportional to 106 and 201

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Solution

The third proportional to 106 and 201 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 201 = 201 : x
  2. Step 2: Convert to fraction form
    106/201 = 201/x
  3. Step 3: Cross multiply
    106x = 201 × 201
  4. Step 4: Simplify right side
    106x = 40,401
  5. Step 5: Solve for x
    x = 40,401/106
  6. Step 6: Final answer
    x = 381.14

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.