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Finding the Third Proportional to 55,738.13 and 126,375.19

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Solution

The third proportional to 55,738.13 and 126,375.19 is: 286,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,738.13 : 126,375.19 = 126,375.19 : x
  2. Step 2: Convert to fraction form
    55,738.13/126,375.19 = 126,375.19/x
  3. Step 3: Cross multiply
    55,738.13x = 126,375.19 × 126,375.19
  4. Step 4: Simplify right side
    55,738.13x = 15,970,688,015.66
  5. Step 5: Solve for x
    x = 15,970,688,015.66/55,738.13
  6. Step 6: Final answer
    x = 286,530.77

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.