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Finding the Third Proportional to 81,108 and 174,150

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Solution

The third proportional to 81,108 and 174,150 is: 373,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,108 : 174,150 = 174,150 : x
  2. Step 2: Convert to fraction form
    81,108/174,150 = 174,150/x
  3. Step 3: Cross multiply
    81,108x = 174,150 × 174,150
  4. Step 4: Simplify right side
    81,108x = 30,328,222,500
  5. Step 5: Solve for x
    x = 30,328,222,500/81,108
  6. Step 6: Final answer
    x = 373,923.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.