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Finding the Third Proportional to 113,577 and 178,193

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Solution

The third proportional to 113,577 and 178,193 is: 279,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,577 : 178,193 = 178,193 : x
  2. Step 2: Convert to fraction form
    113,577/178,193 = 178,193/x
  3. Step 3: Cross multiply
    113,577x = 178,193 × 178,193
  4. Step 4: Simplify right side
    113,577x = 31,752,745,249
  5. Step 5: Solve for x
    x = 31,752,745,249/113,577
  6. Step 6: Final answer
    x = 279,570.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.