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Finding the Third Proportional to 122,555 and 184,562

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Solution

The third proportional to 122,555 and 184,562 is: 277,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,555 : 184,562 = 184,562 : x
  2. Step 2: Convert to fraction form
    122,555/184,562 = 184,562/x
  3. Step 3: Cross multiply
    122,555x = 184,562 × 184,562
  4. Step 4: Simplify right side
    122,555x = 34,063,131,844
  5. Step 5: Solve for x
    x = 34,063,131,844/122,555
  6. Step 6: Final answer
    x = 277,941.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.