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Finding the Third Proportional to 54,772 and 116,605

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Solution

The third proportional to 54,772 and 116,605 is: 248,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,772 : 116,605 = 116,605 : x
  2. Step 2: Convert to fraction form
    54,772/116,605 = 116,605/x
  3. Step 3: Cross multiply
    54,772x = 116,605 × 116,605
  4. Step 4: Simplify right side
    54,772x = 13,596,726,025
  5. Step 5: Solve for x
    x = 13,596,726,025/54,772
  6. Step 6: Final answer
    x = 248,242.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.