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Finding the Third Proportional to 57,114 and 131,632

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Solution

The third proportional to 57,114 and 131,632 is: 303,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114 : 131,632 = 131,632 : x
  2. Step 2: Convert to fraction form
    57,114/131,632 = 131,632/x
  3. Step 3: Cross multiply
    57,114x = 131,632 × 131,632
  4. Step 4: Simplify right side
    57,114x = 17,326,983,424
  5. Step 5: Solve for x
    x = 17,326,983,424/57,114
  6. Step 6: Final answer
    x = 303,375.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.