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Finding the Third Proportional to 33,185 and 70,257

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Solution

The third proportional to 33,185 and 70,257 is: 148,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,185 : 70,257 = 70,257 : x
  2. Step 2: Convert to fraction form
    33,185/70,257 = 70,257/x
  3. Step 3: Cross multiply
    33,185x = 70,257 × 70,257
  4. Step 4: Simplify right side
    33,185x = 4,936,046,049
  5. Step 5: Solve for x
    x = 4,936,046,049/33,185
  6. Step 6: Final answer
    x = 148,743.29

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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.