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Finding the Third Proportional to 119,742.05 and 179,630.16

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Solution

The third proportional to 119,742.05 and 179,630.16 is: 269,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,742.05 : 179,630.16 = 179,630.16 : x
  2. Step 2: Convert to fraction form
    119,742.05/179,630.16 = 179,630.16/x
  3. Step 3: Cross multiply
    119,742.05x = 179,630.16 × 179,630.16
  4. Step 4: Simplify right side
    119,742.05x = 32,266,993,034.40
  5. Step 5: Solve for x
    x = 32,266,993,034.40/119,742.05
  6. Step 6: Final answer
    x = 269,470.87

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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.