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Finding the Third Proportional to 85,845.23 and 126,198.42

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Solution

The third proportional to 85,845.23 and 126,198.42 is: 185,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,845.23 : 126,198.42 = 126,198.42 : x
  2. Step 2: Convert to fraction form
    85,845.23/126,198.42 = 126,198.42/x
  3. Step 3: Cross multiply
    85,845.23x = 126,198.42 × 126,198.42
  4. Step 4: Simplify right side
    85,845.23x = 15,926,041,683.74
  5. Step 5: Solve for x
    x = 15,926,041,683.74/85,845.23
  6. Step 6: Final answer
    x = 185,520.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.