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Finding the Third Proportional to 139,022 and 230,100

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Solution

The third proportional to 139,022 and 230,100 is: 380,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,022 : 230,100 = 230,100 : x
  2. Step 2: Convert to fraction form
    139,022/230,100 = 230,100/x
  3. Step 3: Cross multiply
    139,022x = 230,100 × 230,100
  4. Step 4: Simplify right side
    139,022x = 52,946,010,000
  5. Step 5: Solve for x
    x = 52,946,010,000/139,022
  6. Step 6: Final answer
    x = 380,846.27

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.