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Finding the Third Proportional to 33,104 and 72,202

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Solution

The third proportional to 33,104 and 72,202 is: 157,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104 : 72,202 = 72,202 : x
  2. Step 2: Convert to fraction form
    33,104/72,202 = 72,202/x
  3. Step 3: Cross multiply
    33,104x = 72,202 × 72,202
  4. Step 4: Simplify right side
    33,104x = 5,213,128,804
  5. Step 5: Solve for x
    x = 5,213,128,804/33,104
  6. Step 6: Final answer
    x = 157,477.31

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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.