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Finding the Third Proportional to 50,513.63 and 75,778.88

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Solution

The third proportional to 50,513.63 and 75,778.88 is: 113,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,513.63 : 75,778.88 = 75,778.88 : x
  2. Step 2: Convert to fraction form
    50,513.63/75,778.88 = 75,778.88/x
  3. Step 3: Cross multiply
    50,513.63x = 75,778.88 × 75,778.88
  4. Step 4: Simplify right side
    50,513.63x = 5,742,437,896.27
  5. Step 5: Solve for x
    x = 5,742,437,896.27/50,513.63
  6. Step 6: Final answer
    x = 113,680.97

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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.