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Finding the Third Proportional to 50,886 and 111,205.13

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Solution

The third proportional to 50,886 and 111,205.13 is: 243,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,886 : 111,205.13 = 111,205.13 : x
  2. Step 2: Convert to fraction form
    50,886/111,205.13 = 111,205.13/x
  3. Step 3: Cross multiply
    50,886x = 111,205.13 × 111,205.13
  4. Step 4: Simplify right side
    50,886x = 12,366,579,826.27
  5. Step 5: Solve for x
    x = 12,366,579,826.27/50,886
  6. Step 6: Final answer
    x = 243,025.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.