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Finding the Third Proportional to 139,104 and 223,965

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Solution

The third proportional to 139,104 and 223,965 is: 360,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,104 : 223,965 = 223,965 : x
  2. Step 2: Convert to fraction form
    139,104/223,965 = 223,965/x
  3. Step 3: Cross multiply
    139,104x = 223,965 × 223,965
  4. Step 4: Simplify right side
    139,104x = 50,160,321,225
  5. Step 5: Solve for x
    x = 50,160,321,225/139,104
  6. Step 6: Final answer
    x = 360,595.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.