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Finding the Third Proportional to 42,504 and 91,512

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Solution

The third proportional to 42,504 and 91,512 is: 197,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,504 : 91,512 = 91,512 : x
  2. Step 2: Convert to fraction form
    42,504/91,512 = 91,512/x
  3. Step 3: Cross multiply
    42,504x = 91,512 × 91,512
  4. Step 4: Simplify right side
    42,504x = 8,374,446,144
  5. Step 5: Solve for x
    x = 8,374,446,144/42,504
  6. Step 6: Final answer
    x = 197,027.25

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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.