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Finding the Third Proportional to 112,326 and 168,945

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Solution

The third proportional to 112,326 and 168,945 is: 254,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,326 : 168,945 = 168,945 : x
  2. Step 2: Convert to fraction form
    112,326/168,945 = 168,945/x
  3. Step 3: Cross multiply
    112,326x = 168,945 × 168,945
  4. Step 4: Simplify right side
    112,326x = 28,542,413,025
  5. Step 5: Solve for x
    x = 28,542,413,025/112,326
  6. Step 6: Final answer
    x = 254,103.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.