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Finding the Third Proportional to 120,175.50 and 188,511

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Solution

The third proportional to 120,175.50 and 188,511 is: 295,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,175.50 : 188,511 = 188,511 : x
  2. Step 2: Convert to fraction form
    120,175.50/188,511 = 188,511/x
  3. Step 3: Cross multiply
    120,175.50x = 188,511 × 188,511
  4. Step 4: Simplify right side
    120,175.50x = 35,536,397,121
  5. Step 5: Solve for x
    x = 35,536,397,121/120,175.50
  6. Step 6: Final answer
    x = 295,704.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.