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Finding the Third Proportional to 52,609.50 and 126,785.25

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Solution

The third proportional to 52,609.50 and 126,785.25 is: 305,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,609.50 : 126,785.25 = 126,785.25 : x
  2. Step 2: Convert to fraction form
    52,609.50/126,785.25 = 126,785.25/x
  3. Step 3: Cross multiply
    52,609.50x = 126,785.25 × 126,785.25
  4. Step 4: Simplify right side
    52,609.50x = 16,074,499,617.56
  5. Step 5: Solve for x
    x = 16,074,499,617.56/52,609.50
  6. Step 6: Final answer
    x = 305,543.67

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.