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Finding the Third Proportional to 121,578 and 184,044

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Solution

The third proportional to 121,578 and 184,044 is: 278,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,578 : 184,044 = 184,044 : x
  2. Step 2: Convert to fraction form
    121,578/184,044 = 184,044/x
  3. Step 3: Cross multiply
    121,578x = 184,044 × 184,044
  4. Step 4: Simplify right side
    121,578x = 33,872,193,936
  5. Step 5: Solve for x
    x = 33,872,193,936/121,578
  6. Step 6: Final answer
    x = 278,604.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.