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Finding the Third Proportional to 45,255 and 91,723.50

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Solution

The third proportional to 45,255 and 91,723.50 is: 185,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,255 : 91,723.50 = 91,723.50 : x
  2. Step 2: Convert to fraction form
    45,255/91,723.50 = 91,723.50/x
  3. Step 3: Cross multiply
    45,255x = 91,723.50 × 91,723.50
  4. Step 4: Simplify right side
    45,255x = 8,413,200,452.25
  5. Step 5: Solve for x
    x = 8,413,200,452.25/45,255
  6. Step 6: Final answer
    x = 185,906.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.