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Finding the Third Proportional to 50,159 and 74,667

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Solution

The third proportional to 50,159 and 74,667 is: 111,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,159 : 74,667 = 74,667 : x
  2. Step 2: Convert to fraction form
    50,159/74,667 = 74,667/x
  3. Step 3: Cross multiply
    50,159x = 74,667 × 74,667
  4. Step 4: Simplify right side
    50,159x = 5,575,160,889
  5. Step 5: Solve for x
    x = 5,575,160,889/50,159
  6. Step 6: Final answer
    x = 111,149.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.