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Finding the Third Proportional to 122,757 and 184,590

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Solution

The third proportional to 122,757 and 184,590 is: 277,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,757 : 184,590 = 184,590 : x
  2. Step 2: Convert to fraction form
    122,757/184,590 = 184,590/x
  3. Step 3: Cross multiply
    122,757x = 184,590 × 184,590
  4. Step 4: Simplify right side
    122,757x = 34,073,468,100
  5. Step 5: Solve for x
    x = 34,073,468,100/122,757
  6. Step 6: Final answer
    x = 277,568.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.