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Finding the Third Proportional to 55,057 and 120,530

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Solution

The third proportional to 55,057 and 120,530 is: 263,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057 : 120,530 = 120,530 : x
  2. Step 2: Convert to fraction form
    55,057/120,530 = 120,530/x
  3. Step 3: Cross multiply
    55,057x = 120,530 × 120,530
  4. Step 4: Simplify right side
    55,057x = 14,527,480,900
  5. Step 5: Solve for x
    x = 14,527,480,900/55,057
  6. Step 6: Final answer
    x = 263,862.56

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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.