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Finding the Third Proportional to 54,454 and 116,788

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Solution

The third proportional to 54,454 and 116,788 is: 250,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,454 : 116,788 = 116,788 : x
  2. Step 2: Convert to fraction form
    54,454/116,788 = 116,788/x
  3. Step 3: Cross multiply
    54,454x = 116,788 × 116,788
  4. Step 4: Simplify right side
    54,454x = 13,639,436,944
  5. Step 5: Solve for x
    x = 13,639,436,944/54,454
  6. Step 6: Final answer
    x = 250,476.31

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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.