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Finding the Third Proportional to 119,742.75 and 180,115.88

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Solution

The third proportional to 119,742.75 and 180,115.88 is: 270,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,742.75 : 180,115.88 = 180,115.88 : x
  2. Step 2: Convert to fraction form
    119,742.75/180,115.88 = 180,115.88/x
  3. Step 3: Cross multiply
    119,742.75x = 180,115.88 × 180,115.88
  4. Step 4: Simplify right side
    119,742.75x = 32,441,728,427.02
  5. Step 5: Solve for x
    x = 32,441,728,427.02/119,742.75
  6. Step 6: Final answer
    x = 270,928.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.