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Finding the Third Proportional to 73,124 and 159,400

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Solution

The third proportional to 73,124 and 159,400 is: 347,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,124 : 159,400 = 159,400 : x
  2. Step 2: Convert to fraction form
    73,124/159,400 = 159,400/x
  3. Step 3: Cross multiply
    73,124x = 159,400 × 159,400
  4. Step 4: Simplify right side
    73,124x = 25,408,360,000
  5. Step 5: Solve for x
    x = 25,408,360,000/73,124
  6. Step 6: Final answer
    x = 347,469.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.