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Finding the Third Proportional to 55,760 and 120,274

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Solution

The third proportional to 55,760 and 120,274 is: 259,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,760 : 120,274 = 120,274 : x
  2. Step 2: Convert to fraction form
    55,760/120,274 = 120,274/x
  3. Step 3: Cross multiply
    55,760x = 120,274 × 120,274
  4. Step 4: Simplify right side
    55,760x = 14,465,835,076
  5. Step 5: Solve for x
    x = 14,465,835,076/55,760
  6. Step 6: Final answer
    x = 259,430.33

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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.