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Finding the Third Proportional to 49,325 and 80,137

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Solution

The third proportional to 49,325 and 80,137 is: 130,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,325 : 80,137 = 80,137 : x
  2. Step 2: Convert to fraction form
    49,325/80,137 = 80,137/x
  3. Step 3: Cross multiply
    49,325x = 80,137 × 80,137
  4. Step 4: Simplify right side
    49,325x = 6,421,938,769
  5. Step 5: Solve for x
    x = 6,421,938,769/49,325
  6. Step 6: Final answer
    x = 130,196.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.