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Finding the Third Proportional to 42,268 and 91,833

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Solution

The third proportional to 42,268 and 91,833 is: 199,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,268 : 91,833 = 91,833 : x
  2. Step 2: Convert to fraction form
    42,268/91,833 = 91,833/x
  3. Step 3: Cross multiply
    42,268x = 91,833 × 91,833
  4. Step 4: Simplify right side
    42,268x = 8,433,299,889
  5. Step 5: Solve for x
    x = 8,433,299,889/42,268
  6. Step 6: Final answer
    x = 199,519.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.