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Finding the Third Proportional to 55,409.06 and 117,738.56

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Solution

The third proportional to 55,409.06 and 117,738.56 is: 250,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,409.06 : 117,738.56 = 117,738.56 : x
  2. Step 2: Convert to fraction form
    55,409.06/117,738.56 = 117,738.56/x
  3. Step 3: Cross multiply
    55,409.06x = 117,738.56 × 117,738.56
  4. Step 4: Simplify right side
    55,409.06x = 13,862,369,099.57
  5. Step 5: Solve for x
    x = 13,862,369,099.57/55,409.06
  6. Step 6: Final answer
    x = 250,182.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.