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Finding the Third Proportional to 139,065.75 and 199,120.50

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Solution

The third proportional to 139,065.75 and 199,120.50 is: 285,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,065.75 : 199,120.50 = 199,120.50 : x
  2. Step 2: Convert to fraction form
    139,065.75/199,120.50 = 199,120.50/x
  3. Step 3: Cross multiply
    139,065.75x = 199,120.50 × 199,120.50
  4. Step 4: Simplify right side
    139,065.75x = 39,648,973,520.25
  5. Step 5: Solve for x
    x = 39,648,973,520.25/139,065.75
  6. Step 6: Final answer
    x = 285,109.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.