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Finding the Third Proportional to 34,014 and 73,866

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Solution

The third proportional to 34,014 and 73,866 is: 160,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014 : 73,866 = 73,866 : x
  2. Step 2: Convert to fraction form
    34,014/73,866 = 73,866/x
  3. Step 3: Cross multiply
    34,014x = 73,866 × 73,866
  4. Step 4: Simplify right side
    34,014x = 5,456,185,956
  5. Step 5: Solve for x
    x = 5,456,185,956/34,014
  6. Step 6: Final answer
    x = 160,410.01

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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.