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Finding the Third Proportional to 90,924 and 192,936

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Solution

The third proportional to 90,924 and 192,936 is: 409,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,924 : 192,936 = 192,936 : x
  2. Step 2: Convert to fraction form
    90,924/192,936 = 192,936/x
  3. Step 3: Cross multiply
    90,924x = 192,936 × 192,936
  4. Step 4: Simplify right side
    90,924x = 37,224,300,096
  5. Step 5: Solve for x
    x = 37,224,300,096/90,924
  6. Step 6: Final answer
    x = 409,400.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.