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Finding the Third Proportional to 50,899 and 74,828.25

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Solution

The third proportional to 50,899 and 74,828.25 is: 110,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,899 : 74,828.25 = 74,828.25 : x
  2. Step 2: Convert to fraction form
    50,899/74,828.25 = 74,828.25/x
  3. Step 3: Cross multiply
    50,899x = 74,828.25 × 74,828.25
  4. Step 4: Simplify right side
    50,899x = 5,599,266,998.06
  5. Step 5: Solve for x
    x = 5,599,266,998.06/50,899
  6. Step 6: Final answer
    x = 110,007.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.