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Finding the Third Proportional to 43,791 and 90,696

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Solution

The third proportional to 43,791 and 90,696 is: 187,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,791 : 90,696 = 90,696 : x
  2. Step 2: Convert to fraction form
    43,791/90,696 = 90,696/x
  3. Step 3: Cross multiply
    43,791x = 90,696 × 90,696
  4. Step 4: Simplify right side
    43,791x = 8,225,764,416
  5. Step 5: Solve for x
    x = 8,225,764,416/43,791
  6. Step 6: Final answer
    x = 187,841.44

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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.