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Finding the Third Proportional to 50,382.56 and 76,140.84

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Solution

The third proportional to 50,382.56 and 76,140.84 is: 115,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382.56 : 76,140.84 = 76,140.84 : x
  2. Step 2: Convert to fraction form
    50,382.56/76,140.84 = 76,140.84/x
  3. Step 3: Cross multiply
    50,382.56x = 76,140.84 × 76,140.84
  4. Step 4: Simplify right side
    50,382.56x = 5,797,428,086.96
  5. Step 5: Solve for x
    x = 5,797,428,086.96/50,382.56
  6. Step 6: Final answer
    x = 115,068.15

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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.