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Finding the Third Proportional to 51,623 and 76,474

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Solution

The third proportional to 51,623 and 76,474 is: 113,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,623 : 76,474 = 76,474 : x
  2. Step 2: Convert to fraction form
    51,623/76,474 = 76,474/x
  3. Step 3: Cross multiply
    51,623x = 76,474 × 76,474
  4. Step 4: Simplify right side
    51,623x = 5,848,272,676
  5. Step 5: Solve for x
    x = 5,848,272,676/51,623
  6. Step 6: Final answer
    x = 113,288.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.