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Finding the Third Proportional to 33,160 and 71,228

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Solution

The third proportional to 33,160 and 71,228 is: 152,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160 : 71,228 = 71,228 : x
  2. Step 2: Convert to fraction form
    33,160/71,228 = 71,228/x
  3. Step 3: Cross multiply
    33,160x = 71,228 × 71,228
  4. Step 4: Simplify right side
    33,160x = 5,073,427,984
  5. Step 5: Solve for x
    x = 5,073,427,984/33,160
  6. Step 6: Final answer
    x = 152,998.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.