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Finding the Third Proportional to 136,048 and 211,176

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Solution

The third proportional to 136,048 and 211,176 is: 327,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,048 : 211,176 = 211,176 : x
  2. Step 2: Convert to fraction form
    136,048/211,176 = 211,176/x
  3. Step 3: Cross multiply
    136,048x = 211,176 × 211,176
  4. Step 4: Simplify right side
    136,048x = 44,595,302,976
  5. Step 5: Solve for x
    x = 44,595,302,976/136,048
  6. Step 6: Final answer
    x = 327,790.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.