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Finding the Third Proportional to 85,860 and 184,416.75

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Solution

The third proportional to 85,860 and 184,416.75 is: 396,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,860 : 184,416.75 = 184,416.75 : x
  2. Step 2: Convert to fraction form
    85,860/184,416.75 = 184,416.75/x
  3. Step 3: Cross multiply
    85,860x = 184,416.75 × 184,416.75
  4. Step 4: Simplify right side
    85,860x = 34,009,537,680.56
  5. Step 5: Solve for x
    x = 34,009,537,680.56/85,860
  6. Step 6: Final answer
    x = 396,104.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.