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Finding the Third Proportional to 88,786 and 192,152

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Solution

The third proportional to 88,786 and 192,152 is: 415,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,786 : 192,152 = 192,152 : x
  2. Step 2: Convert to fraction form
    88,786/192,152 = 192,152/x
  3. Step 3: Cross multiply
    88,786x = 192,152 × 192,152
  4. Step 4: Simplify right side
    88,786x = 36,922,391,104
  5. Step 5: Solve for x
    x = 36,922,391,104/88,786
  6. Step 6: Final answer
    x = 415,858.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.