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Finding the Third Proportional to 74,813 and 111,962

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Solution

The third proportional to 74,813 and 111,962 is: 167,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,813 : 111,962 = 111,962 : x
  2. Step 2: Convert to fraction form
    74,813/111,962 = 111,962/x
  3. Step 3: Cross multiply
    74,813x = 111,962 × 111,962
  4. Step 4: Simplify right side
    74,813x = 12,535,489,444
  5. Step 5: Solve for x
    x = 12,535,489,444/74,813
  6. Step 6: Final answer
    x = 167,557.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.