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Finding the Third Proportional to 74,400 and 111,764

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Solution

The third proportional to 74,400 and 111,764 is: 167,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,400 : 111,764 = 111,764 : x
  2. Step 2: Convert to fraction form
    74,400/111,764 = 111,764/x
  3. Step 3: Cross multiply
    74,400x = 111,764 × 111,764
  4. Step 4: Simplify right side
    74,400x = 12,491,191,696
  5. Step 5: Solve for x
    x = 12,491,191,696/74,400
  6. Step 6: Final answer
    x = 167,892.36

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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.