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Finding the Third Proportional to 53,549 and 113,126

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Solution

The third proportional to 53,549 and 113,126 is: 238,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,549 : 113,126 = 113,126 : x
  2. Step 2: Convert to fraction form
    53,549/113,126 = 113,126/x
  3. Step 3: Cross multiply
    53,549x = 113,126 × 113,126
  4. Step 4: Simplify right side
    53,549x = 12,797,491,876
  5. Step 5: Solve for x
    x = 12,797,491,876/53,549
  6. Step 6: Final answer
    x = 238,986.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.