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Finding the Third Proportional to 133,974 and 199,138.50

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Solution

The third proportional to 133,974 and 199,138.50 is: 295,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974 : 199,138.50 = 199,138.50 : x
  2. Step 2: Convert to fraction form
    133,974/199,138.50 = 199,138.50/x
  3. Step 3: Cross multiply
    133,974x = 199,138.50 × 199,138.50
  4. Step 4: Simplify right side
    133,974x = 39,656,142,182.25
  5. Step 5: Solve for x
    x = 39,656,142,182.25/133,974
  6. Step 6: Final answer
    x = 295,998.79

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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.