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Finding the Third Proportional to 107,567 and 150,400

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Solution

The third proportional to 107,567 and 150,400 is: 210,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,567 : 150,400 = 150,400 : x
  2. Step 2: Convert to fraction form
    107,567/150,400 = 150,400/x
  3. Step 3: Cross multiply
    107,567x = 150,400 × 150,400
  4. Step 4: Simplify right side
    107,567x = 22,620,160,000
  5. Step 5: Solve for x
    x = 22,620,160,000/107,567
  6. Step 6: Final answer
    x = 210,289.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.