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Finding the Third Proportional to 84,910.50 and 184,563

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Solution

The third proportional to 84,910.50 and 184,563 is: 401,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,910.50 : 184,563 = 184,563 : x
  2. Step 2: Convert to fraction form
    84,910.50/184,563 = 184,563/x
  3. Step 3: Cross multiply
    84,910.50x = 184,563 × 184,563
  4. Step 4: Simplify right side
    84,910.50x = 34,063,500,969
  5. Step 5: Solve for x
    x = 34,063,500,969/84,910.50
  6. Step 6: Final answer
    x = 401,169.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.