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Finding the Third Proportional to 33,236 and 70,224

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Solution

The third proportional to 33,236 and 70,224 is: 148,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236 : 70,224 = 70,224 : x
  2. Step 2: Convert to fraction form
    33,236/70,224 = 70,224/x
  3. Step 3: Cross multiply
    33,236x = 70,224 × 70,224
  4. Step 4: Simplify right side
    33,236x = 4,931,410,176
  5. Step 5: Solve for x
    x = 4,931,410,176/33,236
  6. Step 6: Final answer
    x = 148,375.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.