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Finding the Third Proportional to 126,117 and 184,328

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Solution

The third proportional to 126,117 and 184,328 is: 269,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,117 : 184,328 = 184,328 : x
  2. Step 2: Convert to fraction form
    126,117/184,328 = 184,328/x
  3. Step 3: Cross multiply
    126,117x = 184,328 × 184,328
  4. Step 4: Simplify right side
    126,117x = 33,976,811,584
  5. Step 5: Solve for x
    x = 33,976,811,584/126,117
  6. Step 6: Final answer
    x = 269,407.07

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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.