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Finding the Third Proportional to 79,270 and 165,100

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Solution

The third proportional to 79,270 and 165,100 is: 343,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,270 : 165,100 = 165,100 : x
  2. Step 2: Convert to fraction form
    79,270/165,100 = 165,100/x
  3. Step 3: Cross multiply
    79,270x = 165,100 × 165,100
  4. Step 4: Simplify right side
    79,270x = 27,258,010,000
  5. Step 5: Solve for x
    x = 27,258,010,000/79,270
  6. Step 6: Final answer
    x = 343,862.87

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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.