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Finding the Third Proportional to 89,219.25 and 131,362.88

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Solution

The third proportional to 89,219.25 and 131,362.88 is: 193,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,219.25 : 131,362.88 = 131,362.88 : x
  2. Step 2: Convert to fraction form
    89,219.25/131,362.88 = 131,362.88/x
  3. Step 3: Cross multiply
    89,219.25x = 131,362.88 × 131,362.88
  4. Step 4: Simplify right side
    89,219.25x = 17,256,204,928.27
  5. Step 5: Solve for x
    x = 17,256,204,928.27/89,219.25
  6. Step 6: Final answer
    x = 193,413.47

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Why These Related Problems?

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