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Finding the Third Proportional to 79,094 and 164,749

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Solution

The third proportional to 79,094 and 164,749 is: 343,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,094 : 164,749 = 164,749 : x
  2. Step 2: Convert to fraction form
    79,094/164,749 = 164,749/x
  3. Step 3: Cross multiply
    79,094x = 164,749 × 164,749
  4. Step 4: Simplify right side
    79,094x = 27,142,233,001
  5. Step 5: Solve for x
    x = 27,142,233,001/79,094
  6. Step 6: Final answer
    x = 343,164.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.