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Finding the Third Proportional to 33,087 and 72,006

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Solution

The third proportional to 33,087 and 72,006 is: 156,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,087 : 72,006 = 72,006 : x
  2. Step 2: Convert to fraction form
    33,087/72,006 = 72,006/x
  3. Step 3: Cross multiply
    33,087x = 72,006 × 72,006
  4. Step 4: Simplify right side
    33,087x = 5,184,864,036
  5. Step 5: Solve for x
    x = 5,184,864,036/33,087
  6. Step 6: Final answer
    x = 156,703.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.