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Finding the Third Proportional to 85,122 and 184,989

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Solution

The third proportional to 85,122 and 184,989 is: 402,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,122 : 184,989 = 184,989 : x
  2. Step 2: Convert to fraction form
    85,122/184,989 = 184,989/x
  3. Step 3: Cross multiply
    85,122x = 184,989 × 184,989
  4. Step 4: Simplify right side
    85,122x = 34,220,930,121
  5. Step 5: Solve for x
    x = 34,220,930,121/85,122
  6. Step 6: Final answer
    x = 402,022.16

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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.