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Finding the Third Proportional to 89,244 and 192,312

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Solution

The third proportional to 89,244 and 192,312 is: 414,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,244 : 192,312 = 192,312 : x
  2. Step 2: Convert to fraction form
    89,244/192,312 = 192,312/x
  3. Step 3: Cross multiply
    89,244x = 192,312 × 192,312
  4. Step 4: Simplify right side
    89,244x = 36,983,905,344
  5. Step 5: Solve for x
    x = 36,983,905,344/89,244
  6. Step 6: Final answer
    x = 414,413.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.