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Finding the Third Proportional to 72,314 and 168,945

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Solution

The third proportional to 72,314 and 168,945 is: 394,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314 : 168,945 = 168,945 : x
  2. Step 2: Convert to fraction form
    72,314/168,945 = 168,945/x
  3. Step 3: Cross multiply
    72,314x = 168,945 × 168,945
  4. Step 4: Simplify right side
    72,314x = 28,542,413,025
  5. Step 5: Solve for x
    x = 28,542,413,025/72,314
  6. Step 6: Final answer
    x = 394,701.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.