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Finding the Third Proportional to 122,511 and 184,805

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Solution

The third proportional to 122,511 and 184,805 is: 278,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,511 : 184,805 = 184,805 : x
  2. Step 2: Convert to fraction form
    122,511/184,805 = 184,805/x
  3. Step 3: Cross multiply
    122,511x = 184,805 × 184,805
  4. Step 4: Simplify right side
    122,511x = 34,152,888,025
  5. Step 5: Solve for x
    x = 34,152,888,025/122,511
  6. Step 6: Final answer
    x = 278,774.05

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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.