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Finding the Third Proportional to 126,116 and 184,324

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Solution

The third proportional to 126,116 and 184,324 is: 269,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,116 : 184,324 = 184,324 : x
  2. Step 2: Convert to fraction form
    126,116/184,324 = 184,324/x
  3. Step 3: Cross multiply
    126,116x = 184,324 × 184,324
  4. Step 4: Simplify right side
    126,116x = 33,975,336,976
  5. Step 5: Solve for x
    x = 33,975,336,976/126,116
  6. Step 6: Final answer
    x = 269,397.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.