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Finding the Third Proportional to 54,527.91 and 114,021.84

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Solution

The third proportional to 54,527.91 and 114,021.84 is: 238,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527.91 : 114,021.84 = 114,021.84 : x
  2. Step 2: Convert to fraction form
    54,527.91/114,021.84 = 114,021.84/x
  3. Step 3: Cross multiply
    54,527.91x = 114,021.84 × 114,021.84
  4. Step 4: Simplify right side
    54,527.91x = 13,000,980,852.15
  5. Step 5: Solve for x
    x = 13,000,980,852.15/54,527.91
  6. Step 6: Final answer
    x = 238,428.02

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.