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Finding the Third Proportional to 50,242 and 76,016

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Solution

The third proportional to 50,242 and 76,016 is: 115,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,242 : 76,016 = 76,016 : x
  2. Step 2: Convert to fraction form
    50,242/76,016 = 76,016/x
  3. Step 3: Cross multiply
    50,242x = 76,016 × 76,016
  4. Step 4: Simplify right side
    50,242x = 5,778,432,256
  5. Step 5: Solve for x
    x = 5,778,432,256/50,242
  6. Step 6: Final answer
    x = 115,011.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.