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Finding the Third Proportional to 133,124 and 200,228

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Solution

The third proportional to 133,124 and 200,228 is: 301,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,124 : 200,228 = 200,228 : x
  2. Step 2: Convert to fraction form
    133,124/200,228 = 200,228/x
  3. Step 3: Cross multiply
    133,124x = 200,228 × 200,228
  4. Step 4: Simplify right side
    133,124x = 40,091,251,984
  5. Step 5: Solve for x
    x = 40,091,251,984/133,124
  6. Step 6: Final answer
    x = 301,157.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.