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Finding the Third Proportional to 121,554 and 184,008

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Solution

The third proportional to 121,554 and 184,008 is: 278,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,554 : 184,008 = 184,008 : x
  2. Step 2: Convert to fraction form
    121,554/184,008 = 184,008/x
  3. Step 3: Cross multiply
    121,554x = 184,008 × 184,008
  4. Step 4: Simplify right side
    121,554x = 33,858,944,064
  5. Step 5: Solve for x
    x = 33,858,944,064/121,554
  6. Step 6: Final answer
    x = 278,550.64

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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.