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Finding the Third Proportional to 131,904 and 184,512

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Solution

The third proportional to 131,904 and 184,512 is: 258,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904 : 184,512 = 184,512 : x
  2. Step 2: Convert to fraction form
    131,904/184,512 = 184,512/x
  3. Step 3: Cross multiply
    131,904x = 184,512 × 184,512
  4. Step 4: Simplify right side
    131,904x = 34,044,678,144
  5. Step 5: Solve for x
    x = 34,044,678,144/131,904
  6. Step 6: Final answer
    x = 258,101.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.