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Finding the Third Proportional to 43,828 and 94,226

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Solution

The third proportional to 43,828 and 94,226 is: 202,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,828 : 94,226 = 94,226 : x
  2. Step 2: Convert to fraction form
    43,828/94,226 = 94,226/x
  3. Step 3: Cross multiply
    43,828x = 94,226 × 94,226
  4. Step 4: Simplify right side
    43,828x = 8,878,539,076
  5. Step 5: Solve for x
    x = 8,878,539,076/43,828
  6. Step 6: Final answer
    x = 202,576.87

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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.