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Finding the Third Proportional to 44,024 and 91,696

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Solution

The third proportional to 44,024 and 91,696 is: 190,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024 : 91,696 = 91,696 : x
  2. Step 2: Convert to fraction form
    44,024/91,696 = 91,696/x
  3. Step 3: Cross multiply
    44,024x = 91,696 × 91,696
  4. Step 4: Simplify right side
    44,024x = 8,408,156,416
  5. Step 5: Solve for x
    x = 8,408,156,416/44,024
  6. Step 6: Final answer
    x = 190,990.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.