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Finding the Third Proportional to 89,221.50 and 131,366.25

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Solution

The third proportional to 89,221.50 and 131,366.25 is: 193,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,221.50 : 131,366.25 = 131,366.25 : x
  2. Step 2: Convert to fraction form
    89,221.50/131,366.25 = 131,366.25/x
  3. Step 3: Cross multiply
    89,221.50x = 131,366.25 × 131,366.25
  4. Step 4: Simplify right side
    89,221.50x = 17,257,091,639.06
  5. Step 5: Solve for x
    x = 17,257,091,639.06/89,221.50
  6. Step 6: Final answer
    x = 193,418.53

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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.