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Finding the Third Proportional to 54,991 and 117,758

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Solution

The third proportional to 54,991 and 117,758 is: 252,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,991 : 117,758 = 117,758 : x
  2. Step 2: Convert to fraction form
    54,991/117,758 = 117,758/x
  3. Step 3: Cross multiply
    54,991x = 117,758 × 117,758
  4. Step 4: Simplify right side
    54,991x = 13,866,946,564
  5. Step 5: Solve for x
    x = 13,866,946,564/54,991
  6. Step 6: Final answer
    x = 252,167.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.