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Finding the Third Proportional to 57,567.38 and 87,245.44

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Solution

The third proportional to 57,567.38 and 87,245.44 is: 132,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,567.38 : 87,245.44 = 87,245.44 : x
  2. Step 2: Convert to fraction form
    57,567.38/87,245.44 = 87,245.44/x
  3. Step 3: Cross multiply
    57,567.38x = 87,245.44 × 87,245.44
  4. Step 4: Simplify right side
    57,567.38x = 7,611,766,364.57
  5. Step 5: Solve for x
    x = 7,611,766,364.57/57,567.38
  6. Step 6: Final answer
    x = 132,223.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.