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Finding the Third Proportional to 50,603 and 72,885

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Solution

The third proportional to 50,603 and 72,885 is: 104,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,603 : 72,885 = 72,885 : x
  2. Step 2: Convert to fraction form
    50,603/72,885 = 72,885/x
  3. Step 3: Cross multiply
    50,603x = 72,885 × 72,885
  4. Step 4: Simplify right side
    50,603x = 5,312,223,225
  5. Step 5: Solve for x
    x = 5,312,223,225/50,603
  6. Step 6: Final answer
    x = 104,978.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.