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Finding the Third Proportional to 54,912 and 116,304

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Solution

The third proportional to 54,912 and 116,304 is: 246,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912 : 116,304 = 116,304 : x
  2. Step 2: Convert to fraction form
    54,912/116,304 = 116,304/x
  3. Step 3: Cross multiply
    54,912x = 116,304 × 116,304
  4. Step 4: Simplify right side
    54,912x = 13,526,620,416
  5. Step 5: Solve for x
    x = 13,526,620,416/54,912
  6. Step 6: Final answer
    x = 246,332.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.