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Finding the Third Proportional to 43,538 and 90,844

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Solution

The third proportional to 43,538 and 90,844 is: 189,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,538 : 90,844 = 90,844 : x
  2. Step 2: Convert to fraction form
    43,538/90,844 = 90,844/x
  3. Step 3: Cross multiply
    43,538x = 90,844 × 90,844
  4. Step 4: Simplify right side
    43,538x = 8,252,632,336
  5. Step 5: Solve for x
    x = 8,252,632,336/43,538
  6. Step 6: Final answer
    x = 189,550.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.