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Finding the Third Proportional to 49,144 and 73,964

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Solution

The third proportional to 49,144 and 73,964 is: 111,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144 : 73,964 = 73,964 : x
  2. Step 2: Convert to fraction form
    49,144/73,964 = 73,964/x
  3. Step 3: Cross multiply
    49,144x = 73,964 × 73,964
  4. Step 4: Simplify right side
    49,144x = 5,470,673,296
  5. Step 5: Solve for x
    x = 5,470,673,296/49,144
  6. Step 6: Final answer
    x = 111,319.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.