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Finding the Third Proportional to 50,608 and 75,503

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Solution

The third proportional to 50,608 and 75,503 is: 112,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,608 : 75,503 = 75,503 : x
  2. Step 2: Convert to fraction form
    50,608/75,503 = 75,503/x
  3. Step 3: Cross multiply
    50,608x = 75,503 × 75,503
  4. Step 4: Simplify right side
    50,608x = 5,700,703,009
  5. Step 5: Solve for x
    x = 5,700,703,009/50,608
  6. Step 6: Final answer
    x = 112,644.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.