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Finding the Third Proportional to 85,116 and 180,992

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Solution

The third proportional to 85,116 and 180,992 is: 384,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,116 : 180,992 = 180,992 : x
  2. Step 2: Convert to fraction form
    85,116/180,992 = 180,992/x
  3. Step 3: Cross multiply
    85,116x = 180,992 × 180,992
  4. Step 4: Simplify right side
    85,116x = 32,758,104,064
  5. Step 5: Solve for x
    x = 32,758,104,064/85,116
  6. Step 6: Final answer
    x = 384,864.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.