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Finding the Third Proportional to 112,914 and 203,796

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Solution

The third proportional to 112,914 and 203,796 is: 367,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,914 : 203,796 = 203,796 : x
  2. Step 2: Convert to fraction form
    112,914/203,796 = 203,796/x
  3. Step 3: Cross multiply
    112,914x = 203,796 × 203,796
  4. Step 4: Simplify right side
    112,914x = 41,532,809,616
  5. Step 5: Solve for x
    x = 41,532,809,616/112,914
  6. Step 6: Final answer
    x = 367,826.93

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.