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Finding the Third Proportional to 120,004 and 184,015

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Solution

The third proportional to 120,004 and 184,015 is: 282,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004 : 184,015 = 184,015 : x
  2. Step 2: Convert to fraction form
    120,004/184,015 = 184,015/x
  3. Step 3: Cross multiply
    120,004x = 184,015 × 184,015
  4. Step 4: Simplify right side
    120,004x = 33,861,520,225
  5. Step 5: Solve for x
    x = 33,861,520,225/120,004
  6. Step 6: Final answer
    x = 282,169.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.