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Finding the Third Proportional to 123,920 and 192,152

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Solution

The third proportional to 123,920 and 192,152 is: 297,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,920 : 192,152 = 192,152 : x
  2. Step 2: Convert to fraction form
    123,920/192,152 = 192,152/x
  3. Step 3: Cross multiply
    123,920x = 192,152 × 192,152
  4. Step 4: Simplify right side
    123,920x = 36,922,391,104
  5. Step 5: Solve for x
    x = 36,922,391,104/123,920
  6. Step 6: Final answer
    x = 297,953.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.