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Finding the Third Proportional to 54,107 and 118,055

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Solution

The third proportional to 54,107 and 118,055 is: 257,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,107 : 118,055 = 118,055 : x
  2. Step 2: Convert to fraction form
    54,107/118,055 = 118,055/x
  3. Step 3: Cross multiply
    54,107x = 118,055 × 118,055
  4. Step 4: Simplify right side
    54,107x = 13,936,983,025
  5. Step 5: Solve for x
    x = 13,936,983,025/54,107
  6. Step 6: Final answer
    x = 257,581.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.