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Finding the Third Proportional to 117,519.75 and 179,034.50

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Solution

The third proportional to 117,519.75 and 179,034.50 is: 272,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,519.75 : 179,034.50 = 179,034.50 : x
  2. Step 2: Convert to fraction form
    117,519.75/179,034.50 = 179,034.50/x
  3. Step 3: Cross multiply
    117,519.75x = 179,034.50 × 179,034.50
  4. Step 4: Simplify right side
    117,519.75x = 32,053,352,190.25
  5. Step 5: Solve for x
    x = 32,053,352,190.25/117,519.75
  6. Step 6: Final answer
    x = 272,748.64

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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.