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Finding the Third Proportional to 78,224 and 168,242

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Solution

The third proportional to 78,224 and 168,242 is: 361,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,224 : 168,242 = 168,242 : x
  2. Step 2: Convert to fraction form
    78,224/168,242 = 168,242/x
  3. Step 3: Cross multiply
    78,224x = 168,242 × 168,242
  4. Step 4: Simplify right side
    78,224x = 28,305,370,564
  5. Step 5: Solve for x
    x = 28,305,370,564/78,224
  6. Step 6: Final answer
    x = 361,850.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.