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Finding the Third Proportional to 137,790.75 and 195,027

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Solution

The third proportional to 137,790.75 and 195,027 is: 276,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,790.75 : 195,027 = 195,027 : x
  2. Step 2: Convert to fraction form
    137,790.75/195,027 = 195,027/x
  3. Step 3: Cross multiply
    137,790.75x = 195,027 × 195,027
  4. Step 4: Simplify right side
    137,790.75x = 38,035,530,729
  5. Step 5: Solve for x
    x = 38,035,530,729/137,790.75
  6. Step 6: Final answer
    x = 276,038.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.