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Finding the Third Proportional to 84,022 and 184,610

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Solution

The third proportional to 84,022 and 184,610 is: 405,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,022 : 184,610 = 184,610 : x
  2. Step 2: Convert to fraction form
    84,022/184,610 = 184,610/x
  3. Step 3: Cross multiply
    84,022x = 184,610 × 184,610
  4. Step 4: Simplify right side
    84,022x = 34,080,852,100
  5. Step 5: Solve for x
    x = 34,080,852,100/84,022
  6. Step 6: Final answer
    x = 405,618.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.