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Finding the Third Proportional to 172,100.95 and 267,144.33

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Solution

The third proportional to 172,100.95 and 267,144.33 is: 414,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,100.95 : 267,144.33 = 267,144.33 : x
  2. Step 2: Convert to fraction form
    172,100.95/267,144.33 = 267,144.33/x
  3. Step 3: Cross multiply
    172,100.95x = 267,144.33 × 267,144.33
  4. Step 4: Simplify right side
    172,100.95x = 71,366,092,049.36
  5. Step 5: Solve for x
    x = 71,366,092,049.36/172,100.95
  6. Step 6: Final answer
    x = 414,675.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.