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Finding the Third Proportional to 67,104 and 142,704

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Solution

The third proportional to 67,104 and 142,704 is: 303,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,104 : 142,704 = 142,704 : x
  2. Step 2: Convert to fraction form
    67,104/142,704 = 142,704/x
  3. Step 3: Cross multiply
    67,104x = 142,704 × 142,704
  4. Step 4: Simplify right side
    67,104x = 20,364,431,616
  5. Step 5: Solve for x
    x = 20,364,431,616/67,104
  6. Step 6: Final answer
    x = 303,475.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.