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Finding the Third Proportional to 33,190 and 70,266

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Solution

The third proportional to 33,190 and 70,266 is: 148,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190 : 70,266 = 70,266 : x
  2. Step 2: Convert to fraction form
    33,190/70,266 = 70,266/x
  3. Step 3: Cross multiply
    33,190x = 70,266 × 70,266
  4. Step 4: Simplify right side
    33,190x = 4,937,310,756
  5. Step 5: Solve for x
    x = 4,937,310,756/33,190
  6. Step 6: Final answer
    x = 148,758.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.