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Finding the Third Proportional to 50,884 and 74,503

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Solution

The third proportional to 50,884 and 74,503 is: 109,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,884 : 74,503 = 74,503 : x
  2. Step 2: Convert to fraction form
    50,884/74,503 = 74,503/x
  3. Step 3: Cross multiply
    50,884x = 74,503 × 74,503
  4. Step 4: Simplify right side
    50,884x = 5,550,697,009
  5. Step 5: Solve for x
    x = 5,550,697,009/50,884
  6. Step 6: Final answer
    x = 109,085.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.