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Finding the Third Proportional to 113,400 and 241,137

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Solution

The third proportional to 113,400 and 241,137 is: 512,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,400 : 241,137 = 241,137 : x
  2. Step 2: Convert to fraction form
    113,400/241,137 = 241,137/x
  3. Step 3: Cross multiply
    113,400x = 241,137 × 241,137
  4. Step 4: Simplify right side
    113,400x = 58,147,052,769
  5. Step 5: Solve for x
    x = 58,147,052,769/113,400
  6. Step 6: Final answer
    x = 512,760.61

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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.