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Finding the Third Proportional to 50,016 and 77,100

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Solution

The third proportional to 50,016 and 77,100 is: 118,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,016 : 77,100 = 77,100 : x
  2. Step 2: Convert to fraction form
    50,016/77,100 = 77,100/x
  3. Step 3: Cross multiply
    50,016x = 77,100 × 77,100
  4. Step 4: Simplify right side
    50,016x = 5,944,410,000
  5. Step 5: Solve for x
    x = 5,944,410,000/50,016
  6. Step 6: Final answer
    x = 118,850.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.