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Finding the Third Proportional to 121,560 and 184,019

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Solution

The third proportional to 121,560 and 184,019 is: 278,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,560 : 184,019 = 184,019 : x
  2. Step 2: Convert to fraction form
    121,560/184,019 = 184,019/x
  3. Step 3: Cross multiply
    121,560x = 184,019 × 184,019
  4. Step 4: Simplify right side
    121,560x = 33,862,992,361
  5. Step 5: Solve for x
    x = 33,862,992,361/121,560
  6. Step 6: Final answer
    x = 278,570.19

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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.