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Finding the Third Proportional to 79,110 and 167,022

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Solution

The third proportional to 79,110 and 167,022 is: 352,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,110 : 167,022 = 167,022 : x
  2. Step 2: Convert to fraction form
    79,110/167,022 = 167,022/x
  3. Step 3: Cross multiply
    79,110x = 167,022 × 167,022
  4. Step 4: Simplify right side
    79,110x = 27,896,348,484
  5. Step 5: Solve for x
    x = 27,896,348,484/79,110
  6. Step 6: Final answer
    x = 352,627.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.