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Finding the Third Proportional to 85,275 and 184,122

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Solution

The third proportional to 85,275 and 184,122 is: 397,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,275 : 184,122 = 184,122 : x
  2. Step 2: Convert to fraction form
    85,275/184,122 = 184,122/x
  3. Step 3: Cross multiply
    85,275x = 184,122 × 184,122
  4. Step 4: Simplify right side
    85,275x = 33,900,910,884
  5. Step 5: Solve for x
    x = 33,900,910,884/85,275
  6. Step 6: Final answer
    x = 397,548.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.