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Finding the Third Proportional to 34,173 and 73,961

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Solution

The third proportional to 34,173 and 73,961 is: 160,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,173 : 73,961 = 73,961 : x
  2. Step 2: Convert to fraction form
    34,173/73,961 = 73,961/x
  3. Step 3: Cross multiply
    34,173x = 73,961 × 73,961
  4. Step 4: Simplify right side
    34,173x = 5,470,229,521
  5. Step 5: Solve for x
    x = 5,470,229,521/34,173
  6. Step 6: Final answer
    x = 160,074.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.