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Finding the Third Proportional to 50,904 and 111,526

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Solution

The third proportional to 50,904 and 111,526 is: 244,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,904 : 111,526 = 111,526 : x
  2. Step 2: Convert to fraction form
    50,904/111,526 = 111,526/x
  3. Step 3: Cross multiply
    50,904x = 111,526 × 111,526
  4. Step 4: Simplify right side
    50,904x = 12,438,048,676
  5. Step 5: Solve for x
    x = 12,438,048,676/50,904
  6. Step 6: Final answer
    x = 244,343.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.