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Finding the Third Proportional to 54,331.59 and 114,562.69

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Solution

The third proportional to 54,331.59 and 114,562.69 is: 241,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,331.59 : 114,562.69 = 114,562.69 : x
  2. Step 2: Convert to fraction form
    54,331.59/114,562.69 = 114,562.69/x
  3. Step 3: Cross multiply
    54,331.59x = 114,562.69 × 114,562.69
  4. Step 4: Simplify right side
    54,331.59x = 13,124,609,367.22
  5. Step 5: Solve for x
    x = 13,124,609,367.22/54,331.59
  6. Step 6: Final answer
    x = 241,564.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.