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Finding the Third Proportional to 55,751 and 120,247

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Solution

The third proportional to 55,751 and 120,247 is: 259,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751 : 120,247 = 120,247 : x
  2. Step 2: Convert to fraction form
    55,751/120,247 = 120,247/x
  3. Step 3: Cross multiply
    55,751x = 120,247 × 120,247
  4. Step 4: Simplify right side
    55,751x = 14,459,341,009
  5. Step 5: Solve for x
    x = 14,459,341,009/55,751
  6. Step 6: Final answer
    x = 259,355.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.