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Finding the Third Proportional to 85,055 and 184,888

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Solution

The third proportional to 85,055 and 184,888 is: 401,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,055 : 184,888 = 184,888 : x
  2. Step 2: Convert to fraction form
    85,055/184,888 = 184,888/x
  3. Step 3: Cross multiply
    85,055x = 184,888 × 184,888
  4. Step 4: Simplify right side
    85,055x = 34,183,572,544
  5. Step 5: Solve for x
    x = 34,183,572,544/85,055
  6. Step 6: Final answer
    x = 401,899.62

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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.