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Finding the Third Proportional to 53,982 and 115,344

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Solution

The third proportional to 53,982 and 115,344 is: 246,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,982 : 115,344 = 115,344 : x
  2. Step 2: Convert to fraction form
    53,982/115,344 = 115,344/x
  3. Step 3: Cross multiply
    53,982x = 115,344 × 115,344
  4. Step 4: Simplify right side
    53,982x = 13,304,238,336
  5. Step 5: Solve for x
    x = 13,304,238,336/53,982
  6. Step 6: Final answer
    x = 246,456.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.