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Finding the Third Proportional to 40,745 and 90,238

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Solution

The third proportional to 40,745 and 90,238 is: 199,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,745 : 90,238 = 90,238 : x
  2. Step 2: Convert to fraction form
    40,745/90,238 = 90,238/x
  3. Step 3: Cross multiply
    40,745x = 90,238 × 90,238
  4. Step 4: Simplify right side
    40,745x = 8,142,896,644
  5. Step 5: Solve for x
    x = 8,142,896,644/40,745
  6. Step 6: Final answer
    x = 199,850.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.