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Finding the Third Proportional to 73,942 and 120,140

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Solution

The third proportional to 73,942 and 120,140 is: 195,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,942 : 120,140 = 120,140 : x
  2. Step 2: Convert to fraction form
    73,942/120,140 = 120,140/x
  3. Step 3: Cross multiply
    73,942x = 120,140 × 120,140
  4. Step 4: Simplify right side
    73,942x = 14,433,619,600
  5. Step 5: Solve for x
    x = 14,433,619,600/73,942
  6. Step 6: Final answer
    x = 195,201.91

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.