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Finding the Third Proportional to 89,039.25 and 192,123

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Solution

The third proportional to 89,039.25 and 192,123 is: 414,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,039.25 : 192,123 = 192,123 : x
  2. Step 2: Convert to fraction form
    89,039.25/192,123 = 192,123/x
  3. Step 3: Cross multiply
    89,039.25x = 192,123 × 192,123
  4. Step 4: Simplify right side
    89,039.25x = 36,911,247,129
  5. Step 5: Solve for x
    x = 36,911,247,129/89,039.25
  6. Step 6: Final answer
    x = 414,550.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.