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Finding the Third Proportional to 50,901 and 110,838

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Solution

The third proportional to 50,901 and 110,838 is: 241,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,901 : 110,838 = 110,838 : x
  2. Step 2: Convert to fraction form
    50,901/110,838 = 110,838/x
  3. Step 3: Cross multiply
    50,901x = 110,838 × 110,838
  4. Step 4: Simplify right side
    50,901x = 12,285,062,244
  5. Step 5: Solve for x
    x = 12,285,062,244/50,901
  6. Step 6: Final answer
    x = 241,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.