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Finding the Third Proportional to 79,738 and 164,498

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Solution

The third proportional to 79,738 and 164,498 is: 339,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,738 : 164,498 = 164,498 : x
  2. Step 2: Convert to fraction form
    79,738/164,498 = 164,498/x
  3. Step 3: Cross multiply
    79,738x = 164,498 × 164,498
  4. Step 4: Simplify right side
    79,738x = 27,059,592,004
  5. Step 5: Solve for x
    x = 27,059,592,004/79,738
  6. Step 6: Final answer
    x = 339,356.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.