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Finding the Third Proportional to 117,514.50 and 179,025.75

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Solution

The third proportional to 117,514.50 and 179,025.75 is: 272,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,514.50 : 179,025.75 = 179,025.75 : x
  2. Step 2: Convert to fraction form
    117,514.50/179,025.75 = 179,025.75/x
  3. Step 3: Cross multiply
    117,514.50x = 179,025.75 × 179,025.75
  4. Step 4: Simplify right side
    117,514.50x = 32,050,219,163.06
  5. Step 5: Solve for x
    x = 32,050,219,163.06/117,514.50
  6. Step 6: Final answer
    x = 272,734.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.