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Finding the Third Proportional to 91,000 and 195,176

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Solution

The third proportional to 91,000 and 195,176 is: 418,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,000 : 195,176 = 195,176 : x
  2. Step 2: Convert to fraction form
    91,000/195,176 = 195,176/x
  3. Step 3: Cross multiply
    91,000x = 195,176 × 195,176
  4. Step 4: Simplify right side
    91,000x = 38,093,670,976
  5. Step 5: Solve for x
    x = 38,093,670,976/91,000
  6. Step 6: Final answer
    x = 418,611.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.