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Finding the Third Proportional to 43,578 and 102,906

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Solution

The third proportional to 43,578 and 102,906 is: 243,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578 : 102,906 = 102,906 : x
  2. Step 2: Convert to fraction form
    43,578/102,906 = 102,906/x
  3. Step 3: Cross multiply
    43,578x = 102,906 × 102,906
  4. Step 4: Simplify right side
    43,578x = 10,589,644,836
  5. Step 5: Solve for x
    x = 10,589,644,836/43,578
  6. Step 6: Final answer
    x = 243,004.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.