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Finding the Third Proportional to 50,274.42 and 104,683.64

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Solution

The third proportional to 50,274.42 and 104,683.64 is: 217,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,274.42 : 104,683.64 = 104,683.64 : x
  2. Step 2: Convert to fraction form
    50,274.42/104,683.64 = 104,683.64/x
  3. Step 3: Cross multiply
    50,274.42x = 104,683.64 × 104,683.64
  4. Step 4: Simplify right side
    50,274.42x = 10,958,664,614.50
  5. Step 5: Solve for x
    x = 10,958,664,614.50/50,274.42
  6. Step 6: Final answer
    x = 217,976.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.