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Finding the Third Proportional to 54,190.13 and 114,941.25

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Solution

The third proportional to 54,190.13 and 114,941.25 is: 243,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190.13 : 114,941.25 = 114,941.25 : x
  2. Step 2: Convert to fraction form
    54,190.13/114,941.25 = 114,941.25/x
  3. Step 3: Cross multiply
    54,190.13x = 114,941.25 × 114,941.25
  4. Step 4: Simplify right side
    54,190.13x = 13,211,490,951.56
  5. Step 5: Solve for x
    x = 13,211,490,951.56/54,190.13
  6. Step 6: Final answer
    x = 243,798.86

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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.