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Finding the Third Proportional to 83,555.25 and 173,993.25

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Solution

The third proportional to 83,555.25 and 173,993.25 is: 362,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,555.25 : 173,993.25 = 173,993.25 : x
  2. Step 2: Convert to fraction form
    83,555.25/173,993.25 = 173,993.25/x
  3. Step 3: Cross multiply
    83,555.25x = 173,993.25 × 173,993.25
  4. Step 4: Simplify right side
    83,555.25x = 30,273,651,045.56
  5. Step 5: Solve for x
    x = 30,273,651,045.56/83,555.25
  6. Step 6: Final answer
    x = 362,318.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.