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Finding the Third Proportional to 122,120 and 264,976

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Solution

The third proportional to 122,120 and 264,976 is: 574,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,120 : 264,976 = 264,976 : x
  2. Step 2: Convert to fraction form
    122,120/264,976 = 264,976/x
  3. Step 3: Cross multiply
    122,120x = 264,976 × 264,976
  4. Step 4: Simplify right side
    122,120x = 70,212,280,576
  5. Step 5: Solve for x
    x = 70,212,280,576/122,120
  6. Step 6: Final answer
    x = 574,944.98

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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.