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Finding the Third Proportional to 122,853.94 and 185,147.44

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Solution

The third proportional to 122,853.94 and 185,147.44 is: 279,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,853.94 : 185,147.44 = 185,147.44 : x
  2. Step 2: Convert to fraction form
    122,853.94/185,147.44 = 185,147.44/x
  3. Step 3: Cross multiply
    122,853.94x = 185,147.44 × 185,147.44
  4. Step 4: Simplify right side
    122,853.94x = 34,279,573,612.82
  5. Step 5: Solve for x
    x = 34,279,573,612.82/122,853.94
  6. Step 6: Final answer
    x = 279,027.07

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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.