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Finding the Third Proportional to 137,080.13 and 204,479.25

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Solution

The third proportional to 137,080.13 and 204,479.25 is: 305,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,080.13 : 204,479.25 = 204,479.25 : x
  2. Step 2: Convert to fraction form
    137,080.13/204,479.25 = 204,479.25/x
  3. Step 3: Cross multiply
    137,080.13x = 204,479.25 × 204,479.25
  4. Step 4: Simplify right side
    137,080.13x = 41,811,763,680.56
  5. Step 5: Solve for x
    x = 41,811,763,680.56/137,080.13
  6. Step 6: Final answer
    x = 305,016.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.