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Finding the Third Proportional to 54,411 and 113,742

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Solution

The third proportional to 54,411 and 113,742 is: 237,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411 : 113,742 = 113,742 : x
  2. Step 2: Convert to fraction form
    54,411/113,742 = 113,742/x
  3. Step 3: Cross multiply
    54,411x = 113,742 × 113,742
  4. Step 4: Simplify right side
    54,411x = 12,937,242,564
  5. Step 5: Solve for x
    x = 12,937,242,564/54,411
  6. Step 6: Final answer
    x = 237,768.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.