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Finding the Third Proportional to 122,081 and 262,570

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Solution

The third proportional to 122,081 and 262,570 is: 564,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,081 : 262,570 = 262,570 : x
  2. Step 2: Convert to fraction form
    122,081/262,570 = 262,570/x
  3. Step 3: Cross multiply
    122,081x = 262,570 × 262,570
  4. Step 4: Simplify right side
    122,081x = 68,943,004,900
  5. Step 5: Solve for x
    x = 68,943,004,900/122,081
  6. Step 6: Final answer
    x = 564,731.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.