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Finding the Third Proportional to 57,732.75 and 126,805.50

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Solution

The third proportional to 57,732.75 and 126,805.50 is: 278,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732.75 : 126,805.50 = 126,805.50 : x
  2. Step 2: Convert to fraction form
    57,732.75/126,805.50 = 126,805.50/x
  3. Step 3: Cross multiply
    57,732.75x = 126,805.50 × 126,805.50
  4. Step 4: Simplify right side
    57,732.75x = 16,079,634,830.25
  5. Step 5: Solve for x
    x = 16,079,634,830.25/57,732.75
  6. Step 6: Final answer
    x = 278,518.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.