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Finding the Third Proportional to 120,170.25 and 188,503.88

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Solution

The third proportional to 120,170.25 and 188,503.88 is: 295,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,170.25 : 188,503.88 = 188,503.88 : x
  2. Step 2: Convert to fraction form
    120,170.25/188,503.88 = 188,503.88/x
  3. Step 3: Cross multiply
    120,170.25x = 188,503.88 × 188,503.88
  4. Step 4: Simplify right side
    120,170.25x = 35,533,710,890.02
  5. Step 5: Solve for x
    x = 35,533,710,890.02/120,170.25
  6. Step 6: Final answer
    x = 295,694.74

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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.