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Finding the Third Proportional to 85,180 and 133,350

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Solution

The third proportional to 85,180 and 133,350 is: 208,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,180 : 133,350 = 133,350 : x
  2. Step 2: Convert to fraction form
    85,180/133,350 = 133,350/x
  3. Step 3: Cross multiply
    85,180x = 133,350 × 133,350
  4. Step 4: Simplify right side
    85,180x = 17,782,222,500
  5. Step 5: Solve for x
    x = 17,782,222,500/85,180
  6. Step 6: Final answer
    x = 208,760.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.