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Finding the Third Proportional to 57,032 and 126,700

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Solution

The third proportional to 57,032 and 126,700 is: 281,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,032 : 126,700 = 126,700 : x
  2. Step 2: Convert to fraction form
    57,032/126,700 = 126,700/x
  3. Step 3: Cross multiply
    57,032x = 126,700 × 126,700
  4. Step 4: Simplify right side
    57,032x = 16,052,890,000
  5. Step 5: Solve for x
    x = 16,052,890,000/57,032
  6. Step 6: Final answer
    x = 281,471.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.