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Finding the Third Proportional to 50,052 and 107,832

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Solution

The third proportional to 50,052 and 107,832 is: 232,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,052 : 107,832 = 107,832 : x
  2. Step 2: Convert to fraction form
    50,052/107,832 = 107,832/x
  3. Step 3: Cross multiply
    50,052x = 107,832 × 107,832
  4. Step 4: Simplify right side
    50,052x = 11,627,740,224
  5. Step 5: Solve for x
    x = 11,627,740,224/50,052
  6. Step 6: Final answer
    x = 232,313.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.