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Finding the Third Proportional to 118,816 and 167,172

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Solution

The third proportional to 118,816 and 167,172 is: 235,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,816 : 167,172 = 167,172 : x
  2. Step 2: Convert to fraction form
    118,816/167,172 = 167,172/x
  3. Step 3: Cross multiply
    118,816x = 167,172 × 167,172
  4. Step 4: Simplify right side
    118,816x = 27,946,477,584
  5. Step 5: Solve for x
    x = 27,946,477,584/118,816
  6. Step 6: Final answer
    x = 235,208.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.