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Finding the Third Proportional to 85,203.75 and 184,513.13

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Solution

The third proportional to 85,203.75 and 184,513.13 is: 399,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,203.75 : 184,513.13 = 184,513.13 : x
  2. Step 2: Convert to fraction form
    85,203.75/184,513.13 = 184,513.13/x
  3. Step 3: Cross multiply
    85,203.75x = 184,513.13 × 184,513.13
  4. Step 4: Simplify right side
    85,203.75x = 34,045,093,297.27
  5. Step 5: Solve for x
    x = 34,045,093,297.27/85,203.75
  6. Step 6: Final answer
    x = 399,572.71

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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.