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Finding the Third Proportional to 50,711.06 and 82,513.69

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Solution

The third proportional to 50,711.06 and 82,513.69 is: 134,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,711.06 : 82,513.69 = 82,513.69 : x
  2. Step 2: Convert to fraction form
    50,711.06/82,513.69 = 82,513.69/x
  3. Step 3: Cross multiply
    50,711.06x = 82,513.69 × 82,513.69
  4. Step 4: Simplify right side
    50,711.06x = 6,808,508,624.85
  5. Step 5: Solve for x
    x = 6,808,508,624.85/50,711.06
  6. Step 6: Final answer
    x = 134,260.82

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.