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Finding the Third Proportional to 103,956.50 and 165,469

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Solution

The third proportional to 103,956.50 and 165,469 is: 263,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.50 : 165,469 = 165,469 : x
  2. Step 2: Convert to fraction form
    103,956.50/165,469 = 165,469/x
  3. Step 3: Cross multiply
    103,956.50x = 165,469 × 165,469
  4. Step 4: Simplify right side
    103,956.50x = 27,379,989,961
  5. Step 5: Solve for x
    x = 27,379,989,961/103,956.50
  6. Step 6: Final answer
    x = 263,379.30

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