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Finding the Third Proportional to 112,104 and 166,559.25

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Solution

The third proportional to 112,104 and 166,559.25 is: 247,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,104 : 166,559.25 = 166,559.25 : x
  2. Step 2: Convert to fraction form
    112,104/166,559.25 = 166,559.25/x
  3. Step 3: Cross multiply
    112,104x = 166,559.25 × 166,559.25
  4. Step 4: Simplify right side
    112,104x = 27,741,983,760.56
  5. Step 5: Solve for x
    x = 27,741,983,760.56/112,104
  6. Step 6: Final answer
    x = 247,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.