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Finding the Third Proportional to 121,048 and 262,760

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Solution

The third proportional to 121,048 and 262,760 is: 570,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,048 : 262,760 = 262,760 : x
  2. Step 2: Convert to fraction form
    121,048/262,760 = 262,760/x
  3. Step 3: Cross multiply
    121,048x = 262,760 × 262,760
  4. Step 4: Simplify right side
    121,048x = 69,042,817,600
  5. Step 5: Solve for x
    x = 69,042,817,600/121,048
  6. Step 6: Final answer
    x = 570,375.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.