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Finding the Third Proportional to 85,452 and 184,052

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Solution

The third proportional to 85,452 and 184,052 is: 396,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,452 : 184,052 = 184,052 : x
  2. Step 2: Convert to fraction form
    85,452/184,052 = 184,052/x
  3. Step 3: Cross multiply
    85,452x = 184,052 × 184,052
  4. Step 4: Simplify right side
    85,452x = 33,875,138,704
  5. Step 5: Solve for x
    x = 33,875,138,704/85,452
  6. Step 6: Final answer
    x = 396,423.01

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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.