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Finding the Third Proportional to 54,806.50 and 117,931

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Solution

The third proportional to 54,806.50 and 117,931 is: 253,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806.50 : 117,931 = 117,931 : x
  2. Step 2: Convert to fraction form
    54,806.50/117,931 = 117,931/x
  3. Step 3: Cross multiply
    54,806.50x = 117,931 × 117,931
  4. Step 4: Simplify right side
    54,806.50x = 13,907,720,761
  5. Step 5: Solve for x
    x = 13,907,720,761/54,806.50
  6. Step 6: Final answer
    x = 253,760.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.