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Finding the Third Proportional to 120,616 and 173,760

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Solution

The third proportional to 120,616 and 173,760 is: 250,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616 : 173,760 = 173,760 : x
  2. Step 2: Convert to fraction form
    120,616/173,760 = 173,760/x
  3. Step 3: Cross multiply
    120,616x = 173,760 × 173,760
  4. Step 4: Simplify right side
    120,616x = 30,192,537,600
  5. Step 5: Solve for x
    x = 30,192,537,600/120,616
  6. Step 6: Final answer
    x = 250,319.51

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Why These Related Problems?

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