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Finding the Third Proportional to 84,720 and 184,800

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Solution

The third proportional to 84,720 and 184,800 is: 403,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,720 : 184,800 = 184,800 : x
  2. Step 2: Convert to fraction form
    84,720/184,800 = 184,800/x
  3. Step 3: Cross multiply
    84,720x = 184,800 × 184,800
  4. Step 4: Simplify right side
    84,720x = 34,151,040,000
  5. Step 5: Solve for x
    x = 34,151,040,000/84,720
  6. Step 6: Final answer
    x = 403,104.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.