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Finding the Third Proportional to 67,401 and 103,247

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Solution

The third proportional to 67,401 and 103,247 is: 158,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,401 : 103,247 = 103,247 : x
  2. Step 2: Convert to fraction form
    67,401/103,247 = 103,247/x
  3. Step 3: Cross multiply
    67,401x = 103,247 × 103,247
  4. Step 4: Simplify right side
    67,401x = 10,659,943,009
  5. Step 5: Solve for x
    x = 10,659,943,009/67,401
  6. Step 6: Final answer
    x = 158,157.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.