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Finding the Third Proportional to 54,052 and 116,420

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Solution

The third proportional to 54,052 and 116,420 is: 250,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,052 : 116,420 = 116,420 : x
  2. Step 2: Convert to fraction form
    54,052/116,420 = 116,420/x
  3. Step 3: Cross multiply
    54,052x = 116,420 × 116,420
  4. Step 4: Simplify right side
    54,052x = 13,553,616,400
  5. Step 5: Solve for x
    x = 13,553,616,400/54,052
  6. Step 6: Final answer
    x = 250,751.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.