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Finding the Third Proportional to 34,010 and 73,954

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Solution

The third proportional to 34,010 and 73,954 is: 160,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010 : 73,954 = 73,954 : x
  2. Step 2: Convert to fraction form
    34,010/73,954 = 73,954/x
  3. Step 3: Cross multiply
    34,010x = 73,954 × 73,954
  4. Step 4: Simplify right side
    34,010x = 5,469,194,116
  5. Step 5: Solve for x
    x = 5,469,194,116/34,010
  6. Step 6: Final answer
    x = 160,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.