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Finding the Third Proportional to 117,540.94 and 179,065.50

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Solution

The third proportional to 117,540.94 and 179,065.50 is: 272,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,540.94 : 179,065.50 = 179,065.50 : x
  2. Step 2: Convert to fraction form
    117,540.94/179,065.50 = 179,065.50/x
  3. Step 3: Cross multiply
    117,540.94x = 179,065.50 × 179,065.50
  4. Step 4: Simplify right side
    117,540.94x = 32,064,453,290.25
  5. Step 5: Solve for x
    x = 32,064,453,290.25/117,540.94
  6. Step 6: Final answer
    x = 272,793.92

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