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Finding the Third Proportional to 33,092 and 68,416

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Solution

The third proportional to 33,092 and 68,416 is: 141,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092 : 68,416 = 68,416 : x
  2. Step 2: Convert to fraction form
    33,092/68,416 = 68,416/x
  3. Step 3: Cross multiply
    33,092x = 68,416 × 68,416
  4. Step 4: Simplify right side
    33,092x = 4,680,749,056
  5. Step 5: Solve for x
    x = 4,680,749,056/33,092
  6. Step 6: Final answer
    x = 141,446.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.