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Finding the Third Proportional to 50,633 and 78,603

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Solution

The third proportional to 50,633 and 78,603 is: 122,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,633 : 78,603 = 78,603 : x
  2. Step 2: Convert to fraction form
    50,633/78,603 = 78,603/x
  3. Step 3: Cross multiply
    50,633x = 78,603 × 78,603
  4. Step 4: Simplify right side
    50,633x = 6,178,431,609
  5. Step 5: Solve for x
    x = 6,178,431,609/50,633
  6. Step 6: Final answer
    x = 122,023.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.