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Finding the Third Proportional to 52,538 and 80,378

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Solution

The third proportional to 52,538 and 80,378 is: 122,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538 : 80,378 = 80,378 : x
  2. Step 2: Convert to fraction form
    52,538/80,378 = 80,378/x
  3. Step 3: Cross multiply
    52,538x = 80,378 × 80,378
  4. Step 4: Simplify right side
    52,538x = 6,460,622,884
  5. Step 5: Solve for x
    x = 6,460,622,884/52,538
  6. Step 6: Final answer
    x = 122,970.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.