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Finding the Third Proportional to 123,411.94 and 184,310.44

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Solution

The third proportional to 123,411.94 and 184,310.44 is: 275,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411.94 : 184,310.44 = 184,310.44 : x
  2. Step 2: Convert to fraction form
    123,411.94/184,310.44 = 184,310.44/x
  3. Step 3: Cross multiply
    123,411.94x = 184,310.44 × 184,310.44
  4. Step 4: Simplify right side
    123,411.94x = 33,970,337,371.44
  5. Step 5: Solve for x
    x = 33,970,337,371.44/123,411.94
  6. Step 6: Final answer
    x = 275,259.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.