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Finding the Third Proportional to 136,876.50 and 200,589.75

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Solution

The third proportional to 136,876.50 and 200,589.75 is: 293,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876.50 : 200,589.75 = 200,589.75 : x
  2. Step 2: Convert to fraction form
    136,876.50/200,589.75 = 200,589.75/x
  3. Step 3: Cross multiply
    136,876.50x = 200,589.75 × 200,589.75
  4. Step 4: Simplify right side
    136,876.50x = 40,236,247,805.06
  5. Step 5: Solve for x
    x = 40,236,247,805.06/136,876.50
  6. Step 6: Final answer
    x = 293,960.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.