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Finding the Third Proportional to 103,738 and 164,679

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Solution

The third proportional to 103,738 and 164,679 is: 261,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,738 : 164,679 = 164,679 : x
  2. Step 2: Convert to fraction form
    103,738/164,679 = 164,679/x
  3. Step 3: Cross multiply
    103,738x = 164,679 × 164,679
  4. Step 4: Simplify right side
    103,738x = 27,119,173,041
  5. Step 5: Solve for x
    x = 27,119,173,041/103,738
  6. Step 6: Final answer
    x = 261,419.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.