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Finding the Third Proportional to 34,108 and 74,983

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Solution

The third proportional to 34,108 and 74,983 is: 164,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,108 : 74,983 = 74,983 : x
  2. Step 2: Convert to fraction form
    34,108/74,983 = 74,983/x
  3. Step 3: Cross multiply
    34,108x = 74,983 × 74,983
  4. Step 4: Simplify right side
    34,108x = 5,622,450,289
  5. Step 5: Solve for x
    x = 5,622,450,289/34,108
  6. Step 6: Final answer
    x = 164,842.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.