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Finding the Third Proportional to 49,860 and 74,824

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Solution

The third proportional to 49,860 and 74,824 is: 112,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,860 : 74,824 = 74,824 : x
  2. Step 2: Convert to fraction form
    49,860/74,824 = 74,824/x
  3. Step 3: Cross multiply
    49,860x = 74,824 × 74,824
  4. Step 4: Simplify right side
    49,860x = 5,598,630,976
  5. Step 5: Solve for x
    x = 5,598,630,976/49,860
  6. Step 6: Final answer
    x = 112,287.02

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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.