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Finding the Third Proportional to 84,143 and 184,126

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Solution

The third proportional to 84,143 and 184,126 is: 402,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143 : 184,126 = 184,126 : x
  2. Step 2: Convert to fraction form
    84,143/184,126 = 184,126/x
  3. Step 3: Cross multiply
    84,143x = 184,126 × 184,126
  4. Step 4: Simplify right side
    84,143x = 33,902,383,876
  5. Step 5: Solve for x
    x = 33,902,383,876/84,143
  6. Step 6: Final answer
    x = 402,913.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.