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Finding the Third Proportional to 131,766 and 203,805

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Solution

The third proportional to 131,766 and 203,805 is: 315,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,766 : 203,805 = 203,805 : x
  2. Step 2: Convert to fraction form
    131,766/203,805 = 203,805/x
  3. Step 3: Cross multiply
    131,766x = 203,805 × 203,805
  4. Step 4: Simplify right side
    131,766x = 41,536,478,025
  5. Step 5: Solve for x
    x = 41,536,478,025/131,766
  6. Step 6: Final answer
    x = 315,229.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.