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Finding the Third Proportional to 50,958 and 69,199

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Solution

The third proportional to 50,958 and 69,199 is: 93,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,958 : 69,199 = 69,199 : x
  2. Step 2: Convert to fraction form
    50,958/69,199 = 69,199/x
  3. Step 3: Cross multiply
    50,958x = 69,199 × 69,199
  4. Step 4: Simplify right side
    50,958x = 4,788,501,601
  5. Step 5: Solve for x
    x = 4,788,501,601/50,958
  6. Step 6: Final answer
    x = 93,969.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.