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Finding the Third Proportional to 106,879.50 and 174,150

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Solution

The third proportional to 106,879.50 and 174,150 is: 283,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,879.50 : 174,150 = 174,150 : x
  2. Step 2: Convert to fraction form
    106,879.50/174,150 = 174,150/x
  3. Step 3: Cross multiply
    106,879.50x = 174,150 × 174,150
  4. Step 4: Simplify right side
    106,879.50x = 30,328,222,500
  5. Step 5: Solve for x
    x = 30,328,222,500/106,879.50
  6. Step 6: Final answer
    x = 283,760.89

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.