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Finding the Third Proportional to 42,024 and 91,392

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Solution

The third proportional to 42,024 and 91,392 is: 198,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024 : 91,392 = 91,392 : x
  2. Step 2: Convert to fraction form
    42,024/91,392 = 91,392/x
  3. Step 3: Cross multiply
    42,024x = 91,392 × 91,392
  4. Step 4: Simplify right side
    42,024x = 8,352,497,664
  5. Step 5: Solve for x
    x = 8,352,497,664/42,024
  6. Step 6: Final answer
    x = 198,755.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.