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Finding the Third Proportional to 54,543 and 114,052

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Solution

The third proportional to 54,543 and 114,052 is: 238,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,543 : 114,052 = 114,052 : x
  2. Step 2: Convert to fraction form
    54,543/114,052 = 114,052/x
  3. Step 3: Cross multiply
    54,543x = 114,052 × 114,052
  4. Step 4: Simplify right side
    54,543x = 13,007,858,704
  5. Step 5: Solve for x
    x = 13,007,858,704/54,543
  6. Step 6: Final answer
    x = 238,488.14

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Why These Related Problems?

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