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Finding the Third Proportional to 50,164 and 66,592

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Solution

The third proportional to 50,164 and 66,592 is: 88,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,164 : 66,592 = 66,592 : x
  2. Step 2: Convert to fraction form
    50,164/66,592 = 66,592/x
  3. Step 3: Cross multiply
    50,164x = 66,592 × 66,592
  4. Step 4: Simplify right side
    50,164x = 4,434,494,464
  5. Step 5: Solve for x
    x = 4,434,494,464/50,164
  6. Step 6: Final answer
    x = 88,399.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.