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Finding the Third Proportional to 121,553 and 184,006

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Solution

The third proportional to 121,553 and 184,006 is: 278,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,553 : 184,006 = 184,006 : x
  2. Step 2: Convert to fraction form
    121,553/184,006 = 184,006/x
  3. Step 3: Cross multiply
    121,553x = 184,006 × 184,006
  4. Step 4: Simplify right side
    121,553x = 33,858,208,036
  5. Step 5: Solve for x
    x = 33,858,208,036/121,553
  6. Step 6: Final answer
    x = 278,546.87

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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.