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Finding the Third Proportional to 121,848 and 184,068

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Solution

The third proportional to 121,848 and 184,068 is: 278,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,848 : 184,068 = 184,068 : x
  2. Step 2: Convert to fraction form
    121,848/184,068 = 184,068/x
  3. Step 3: Cross multiply
    121,848x = 184,068 × 184,068
  4. Step 4: Simplify right side
    121,848x = 33,881,028,624
  5. Step 5: Solve for x
    x = 33,881,028,624/121,848
  6. Step 6: Final answer
    x = 278,059.78

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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.