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Finding the Third Proportional to 49,220 and 115,554

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Solution

The third proportional to 49,220 and 115,554 is: 271,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,220 : 115,554 = 115,554 : x
  2. Step 2: Convert to fraction form
    49,220/115,554 = 115,554/x
  3. Step 3: Cross multiply
    49,220x = 115,554 × 115,554
  4. Step 4: Simplify right side
    49,220x = 13,352,726,916
  5. Step 5: Solve for x
    x = 13,352,726,916/49,220
  6. Step 6: Final answer
    x = 271,286.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.