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Finding the Third Proportional to 54,339 and 115,220

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Solution

The third proportional to 54,339 and 115,220 is: 244,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,339 : 115,220 = 115,220 : x
  2. Step 2: Convert to fraction form
    54,339/115,220 = 115,220/x
  3. Step 3: Cross multiply
    54,339x = 115,220 × 115,220
  4. Step 4: Simplify right side
    54,339x = 13,275,648,400
  5. Step 5: Solve for x
    x = 13,275,648,400/54,339
  6. Step 6: Final answer
    x = 244,311.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.