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Finding the Third Proportional to 33,003 and 67,155

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Solution

The third proportional to 33,003 and 67,155 is: 136,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,003 : 67,155 = 67,155 : x
  2. Step 2: Convert to fraction form
    33,003/67,155 = 67,155/x
  3. Step 3: Cross multiply
    33,003x = 67,155 × 67,155
  4. Step 4: Simplify right side
    33,003x = 4,509,794,025
  5. Step 5: Solve for x
    x = 4,509,794,025/33,003
  6. Step 6: Final answer
    x = 136,648.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.