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Finding the Third Proportional to 70,144 and 154,112

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Solution

The third proportional to 70,144 and 154,112 is: 338,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,144 : 154,112 = 154,112 : x
  2. Step 2: Convert to fraction form
    70,144/154,112 = 154,112/x
  3. Step 3: Cross multiply
    70,144x = 154,112 × 154,112
  4. Step 4: Simplify right side
    70,144x = 23,750,508,544
  5. Step 5: Solve for x
    x = 23,750,508,544/70,144
  6. Step 6: Final answer
    x = 338,596.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.