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Finding the Third Proportional to 55,225 and 120,226

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Solution

The third proportional to 55,225 and 120,226 is: 261,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,225 : 120,226 = 120,226 : x
  2. Step 2: Convert to fraction form
    55,225/120,226 = 120,226/x
  3. Step 3: Cross multiply
    55,225x = 120,226 × 120,226
  4. Step 4: Simplify right side
    55,225x = 14,454,291,076
  5. Step 5: Solve for x
    x = 14,454,291,076/55,225
  6. Step 6: Final answer
    x = 261,734.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.