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Finding the Third Proportional to 50,665.50 and 109,983

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Solution

The third proportional to 50,665.50 and 109,983 is: 238,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,665.50 : 109,983 = 109,983 : x
  2. Step 2: Convert to fraction form
    50,665.50/109,983 = 109,983/x
  3. Step 3: Cross multiply
    50,665.50x = 109,983 × 109,983
  4. Step 4: Simplify right side
    50,665.50x = 12,096,260,289
  5. Step 5: Solve for x
    x = 12,096,260,289/50,665.50
  6. Step 6: Final answer
    x = 238,747.48

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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.