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Finding the Third Proportional to 121,852 and 184,074

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Solution

The third proportional to 121,852 and 184,074 is: 278,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,852 : 184,074 = 184,074 : x
  2. Step 2: Convert to fraction form
    121,852/184,074 = 184,074/x
  3. Step 3: Cross multiply
    121,852x = 184,074 × 184,074
  4. Step 4: Simplify right side
    121,852x = 33,883,237,476
  5. Step 5: Solve for x
    x = 33,883,237,476/121,852
  6. Step 6: Final answer
    x = 278,068.78

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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.