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Finding the Third Proportional to 85,002 and 184,908

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Solution

The third proportional to 85,002 and 184,908 is: 402,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,002 : 184,908 = 184,908 : x
  2. Step 2: Convert to fraction form
    85,002/184,908 = 184,908/x
  3. Step 3: Cross multiply
    85,002x = 184,908 × 184,908
  4. Step 4: Simplify right side
    85,002x = 34,190,968,464
  5. Step 5: Solve for x
    x = 34,190,968,464/85,002
  6. Step 6: Final answer
    x = 402,237.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.