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Finding the Third Proportional to 55,251 and 120,951

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Solution

The third proportional to 55,251 and 120,951 is: 264,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,251 : 120,951 = 120,951 : x
  2. Step 2: Convert to fraction form
    55,251/120,951 = 120,951/x
  3. Step 3: Cross multiply
    55,251x = 120,951 × 120,951
  4. Step 4: Simplify right side
    55,251x = 14,629,144,401
  5. Step 5: Solve for x
    x = 14,629,144,401/55,251
  6. Step 6: Final answer
    x = 264,776.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.