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Finding the Third Proportional to 50,586 and 76,042

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Solution

The third proportional to 50,586 and 76,042 is: 114,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586 : 76,042 = 76,042 : x
  2. Step 2: Convert to fraction form
    50,586/76,042 = 76,042/x
  3. Step 3: Cross multiply
    50,586x = 76,042 × 76,042
  4. Step 4: Simplify right side
    50,586x = 5,782,385,764
  5. Step 5: Solve for x
    x = 5,782,385,764/50,586
  6. Step 6: Final answer
    x = 114,308.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.