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Finding the Third Proportional to 83,389.50 and 122,879.25

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Solution

The third proportional to 83,389.50 and 122,879.25 is: 181,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,389.50 : 122,879.25 = 122,879.25 : x
  2. Step 2: Convert to fraction form
    83,389.50/122,879.25 = 122,879.25/x
  3. Step 3: Cross multiply
    83,389.50x = 122,879.25 × 122,879.25
  4. Step 4: Simplify right side
    83,389.50x = 15,099,310,080.56
  5. Step 5: Solve for x
    x = 15,099,310,080.56/83,389.50
  6. Step 6: Final answer
    x = 181,069.68

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