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Finding the Third Proportional to 49,717.50 and 75,300.75

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Solution

The third proportional to 49,717.50 and 75,300.75 is: 114,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,717.50 : 75,300.75 = 75,300.75 : x
  2. Step 2: Convert to fraction form
    49,717.50/75,300.75 = 75,300.75/x
  3. Step 3: Cross multiply
    49,717.50x = 75,300.75 × 75,300.75
  4. Step 4: Simplify right side
    49,717.50x = 5,670,202,950.56
  5. Step 5: Solve for x
    x = 5,670,202,950.56/49,717.50
  6. Step 6: Final answer
    x = 114,048.43

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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.