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Finding the Third Proportional to 44,834 and 67,164

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Solution

The third proportional to 44,834 and 67,164 is: 100,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,834 : 67,164 = 67,164 : x
  2. Step 2: Convert to fraction form
    44,834/67,164 = 67,164/x
  3. Step 3: Cross multiply
    44,834x = 67,164 × 67,164
  4. Step 4: Simplify right side
    44,834x = 4,511,002,896
  5. Step 5: Solve for x
    x = 4,511,002,896/44,834
  6. Step 6: Final answer
    x = 100,615.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.