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Finding the Third Proportional to 100,366.50 and 137,625

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Solution

The third proportional to 100,366.50 and 137,625 is: 188,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.50 : 137,625 = 137,625 : x
  2. Step 2: Convert to fraction form
    100,366.50/137,625 = 137,625/x
  3. Step 3: Cross multiply
    100,366.50x = 137,625 × 137,625
  4. Step 4: Simplify right side
    100,366.50x = 18,940,640,625
  5. Step 5: Solve for x
    x = 18,940,640,625/100,366.50
  6. Step 6: Final answer
    x = 188,714.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.