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Finding the Third Proportional to 89,224 and 118,947

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Solution

The third proportional to 89,224 and 118,947 is: 158,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,224 : 118,947 = 118,947 : x
  2. Step 2: Convert to fraction form
    89,224/118,947 = 118,947/x
  3. Step 3: Cross multiply
    89,224x = 118,947 × 118,947
  4. Step 4: Simplify right side
    89,224x = 14,148,388,809
  5. Step 5: Solve for x
    x = 14,148,388,809/89,224
  6. Step 6: Final answer
    x = 158,571.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.