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Finding the Third Proportional to 52,180.03 and 111,738.66

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Solution

The third proportional to 52,180.03 and 111,738.66 is: 239,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180.03 : 111,738.66 = 111,738.66 : x
  2. Step 2: Convert to fraction form
    52,180.03/111,738.66 = 111,738.66/x
  3. Step 3: Cross multiply
    52,180.03x = 111,738.66 × 111,738.66
  4. Step 4: Simplify right side
    52,180.03x = 12,485,527,300.56
  5. Step 5: Solve for x
    x = 12,485,527,300.56/52,180.03
  6. Step 6: Final answer
    x = 239,277.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.