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Finding the Third Proportional to 44,142.63 and 67,234

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Solution

The third proportional to 44,142.63 and 67,234 is: 102,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,142.63 : 67,234 = 67,234 : x
  2. Step 2: Convert to fraction form
    44,142.63/67,234 = 67,234/x
  3. Step 3: Cross multiply
    44,142.63x = 67,234 × 67,234
  4. Step 4: Simplify right side
    44,142.63x = 4,520,410,756
  5. Step 5: Solve for x
    x = 4,520,410,756/44,142.63
  6. Step 6: Final answer
    x = 102,404.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.