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Finding the Third Proportional to 51,437 and 80,162

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Solution

The third proportional to 51,437 and 80,162 is: 124,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,437 : 80,162 = 80,162 : x
  2. Step 2: Convert to fraction form
    51,437/80,162 = 80,162/x
  3. Step 3: Cross multiply
    51,437x = 80,162 × 80,162
  4. Step 4: Simplify right side
    51,437x = 6,425,946,244
  5. Step 5: Solve for x
    x = 6,425,946,244/51,437
  6. Step 6: Final answer
    x = 124,928.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.