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Finding the Third Proportional to 79,089 and 164,739

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Solution

The third proportional to 79,089 and 164,739 is: 343,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,089 : 164,739 = 164,739 : x
  2. Step 2: Convert to fraction form
    79,089/164,739 = 164,739/x
  3. Step 3: Cross multiply
    79,089x = 164,739 × 164,739
  4. Step 4: Simplify right side
    79,089x = 27,138,938,121
  5. Step 5: Solve for x
    x = 27,138,938,121/79,089
  6. Step 6: Final answer
    x = 343,144.28

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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.