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Finding the Third Proportional to 45,392 and 96,832

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Solution

The third proportional to 45,392 and 96,832 is: 206,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,392 : 96,832 = 96,832 : x
  2. Step 2: Convert to fraction form
    45,392/96,832 = 96,832/x
  3. Step 3: Cross multiply
    45,392x = 96,832 × 96,832
  4. Step 4: Simplify right side
    45,392x = 9,376,436,224
  5. Step 5: Solve for x
    x = 9,376,436,224/45,392
  6. Step 6: Final answer
    x = 206,565.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.