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Finding the Third Proportional to 84,120 and 184,608

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Solution

The third proportional to 84,120 and 184,608 is: 405,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,120 : 184,608 = 184,608 : x
  2. Step 2: Convert to fraction form
    84,120/184,608 = 184,608/x
  3. Step 3: Cross multiply
    84,120x = 184,608 × 184,608
  4. Step 4: Simplify right side
    84,120x = 34,080,113,664
  5. Step 5: Solve for x
    x = 34,080,113,664/84,120
  6. Step 6: Final answer
    x = 405,136.87

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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.