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Finding the Third Proportional to 33,273 and 73,011

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Solution

The third proportional to 33,273 and 73,011 is: 160,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273 : 73,011 = 73,011 : x
  2. Step 2: Convert to fraction form
    33,273/73,011 = 73,011/x
  3. Step 3: Cross multiply
    33,273x = 73,011 × 73,011
  4. Step 4: Simplify right side
    33,273x = 5,330,606,121
  5. Step 5: Solve for x
    x = 5,330,606,121/33,273
  6. Step 6: Final answer
    x = 160,208.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.