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Finding the Third Proportional to 83,896 and 184,370

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Solution

The third proportional to 83,896 and 184,370 is: 405,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896 : 184,370 = 184,370 : x
  2. Step 2: Convert to fraction form
    83,896/184,370 = 184,370/x
  3. Step 3: Cross multiply
    83,896x = 184,370 × 184,370
  4. Step 4: Simplify right side
    83,896x = 33,992,296,900
  5. Step 5: Solve for x
    x = 33,992,296,900/83,896
  6. Step 6: Final answer
    x = 405,171.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.