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Finding the Third Proportional to 74,038 and 110,936

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Solution

The third proportional to 74,038 and 110,936 is: 166,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038 : 110,936 = 110,936 : x
  2. Step 2: Convert to fraction form
    74,038/110,936 = 110,936/x
  3. Step 3: Cross multiply
    74,038x = 110,936 × 110,936
  4. Step 4: Simplify right side
    74,038x = 12,306,796,096
  5. Step 5: Solve for x
    x = 12,306,796,096/74,038
  6. Step 6: Final answer
    x = 166,222.70

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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.