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Finding the Third Proportional to 50,523 and 74,802

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Solution

The third proportional to 50,523 and 74,802 is: 110,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523 : 74,802 = 74,802 : x
  2. Step 2: Convert to fraction form
    50,523/74,802 = 74,802/x
  3. Step 3: Cross multiply
    50,523x = 74,802 × 74,802
  4. Step 4: Simplify right side
    50,523x = 5,595,339,204
  5. Step 5: Solve for x
    x = 5,595,339,204/50,523
  6. Step 6: Final answer
    x = 110,748.36

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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.