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Finding the Third Proportional to 110,504 and 169,951

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Solution

The third proportional to 110,504 and 169,951 is: 261,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,504 : 169,951 = 169,951 : x
  2. Step 2: Convert to fraction form
    110,504/169,951 = 169,951/x
  3. Step 3: Cross multiply
    110,504x = 169,951 × 169,951
  4. Step 4: Simplify right side
    110,504x = 28,883,342,401
  5. Step 5: Solve for x
    x = 28,883,342,401/110,504
  6. Step 6: Final answer
    x = 261,378.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.