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Finding the Third Proportional to 117,691.50 and 179,615.25

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Solution

The third proportional to 117,691.50 and 179,615.25 is: 274,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,691.50 : 179,615.25 = 179,615.25 : x
  2. Step 2: Convert to fraction form
    117,691.50/179,615.25 = 179,615.25/x
  3. Step 3: Cross multiply
    117,691.50x = 179,615.25 × 179,615.25
  4. Step 4: Simplify right side
    117,691.50x = 32,261,638,032.56
  5. Step 5: Solve for x
    x = 32,261,638,032.56/117,691.50
  6. Step 6: Final answer
    x = 274,120.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.