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Finding the Third Proportional to 54,537 and 115,665

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Solution

The third proportional to 54,537 and 115,665 is: 245,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,537 : 115,665 = 115,665 : x
  2. Step 2: Convert to fraction form
    54,537/115,665 = 115,665/x
  3. Step 3: Cross multiply
    54,537x = 115,665 × 115,665
  4. Step 4: Simplify right side
    54,537x = 13,378,392,225
  5. Step 5: Solve for x
    x = 13,378,392,225/54,537
  6. Step 6: Final answer
    x = 245,308.55

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