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Finding the Third Proportional to 126,176 and 184,848

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Solution

The third proportional to 126,176 and 184,848 is: 270,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,176 : 184,848 = 184,848 : x
  2. Step 2: Convert to fraction form
    126,176/184,848 = 184,848/x
  3. Step 3: Cross multiply
    126,176x = 184,848 × 184,848
  4. Step 4: Simplify right side
    126,176x = 34,168,783,104
  5. Step 5: Solve for x
    x = 34,168,783,104/126,176
  6. Step 6: Final answer
    x = 270,802.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.