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Finding the Third Proportional to 33,252 and 72,965

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Solution

The third proportional to 33,252 and 72,965 is: 160,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,252 : 72,965 = 72,965 : x
  2. Step 2: Convert to fraction form
    33,252/72,965 = 72,965/x
  3. Step 3: Cross multiply
    33,252x = 72,965 × 72,965
  4. Step 4: Simplify right side
    33,252x = 5,323,891,225
  5. Step 5: Solve for x
    x = 5,323,891,225/33,252
  6. Step 6: Final answer
    x = 160,107.40

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