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Finding the Third Proportional to 85,282 and 184,135

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Solution

The third proportional to 85,282 and 184,135 is: 397,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,282 : 184,135 = 184,135 : x
  2. Step 2: Convert to fraction form
    85,282/184,135 = 184,135/x
  3. Step 3: Cross multiply
    85,282x = 184,135 × 184,135
  4. Step 4: Simplify right side
    85,282x = 33,905,698,225
  5. Step 5: Solve for x
    x = 33,905,698,225/85,282
  6. Step 6: Final answer
    x = 397,571.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.