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Finding the Third Proportional to 55,771 and 120,229

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Solution

The third proportional to 55,771 and 120,229 is: 259,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,771 : 120,229 = 120,229 : x
  2. Step 2: Convert to fraction form
    55,771/120,229 = 120,229/x
  3. Step 3: Cross multiply
    55,771x = 120,229 × 120,229
  4. Step 4: Simplify right side
    55,771x = 14,455,012,441
  5. Step 5: Solve for x
    x = 14,455,012,441/55,771
  6. Step 6: Final answer
    x = 259,185.10

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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.