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Finding the Third Proportional to 50,300.25 and 75,456.38

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Solution

The third proportional to 50,300.25 and 75,456.38 is: 113,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,300.25 : 75,456.38 = 75,456.38 : x
  2. Step 2: Convert to fraction form
    50,300.25/75,456.38 = 75,456.38/x
  3. Step 3: Cross multiply
    50,300.25x = 75,456.38 × 75,456.38
  4. Step 4: Simplify right side
    50,300.25x = 5,693,664,528.14
  5. Step 5: Solve for x
    x = 5,693,664,528.14/50,300.25
  6. Step 6: Final answer
    x = 113,193.56

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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.