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Finding the Third Proportional to 33,220 and 72,968

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Solution

The third proportional to 33,220 and 72,968 is: 160,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220 : 72,968 = 72,968 : x
  2. Step 2: Convert to fraction form
    33,220/72,968 = 72,968/x
  3. Step 3: Cross multiply
    33,220x = 72,968 × 72,968
  4. Step 4: Simplify right side
    33,220x = 5,324,329,024
  5. Step 5: Solve for x
    x = 5,324,329,024/33,220
  6. Step 6: Final answer
    x = 160,274.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.