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Finding the Third Proportional to 96,150 and 143,425

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Solution

The third proportional to 96,150 and 143,425 is: 213,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,150 : 143,425 = 143,425 : x
  2. Step 2: Convert to fraction form
    96,150/143,425 = 143,425/x
  3. Step 3: Cross multiply
    96,150x = 143,425 × 143,425
  4. Step 4: Simplify right side
    96,150x = 20,570,730,625
  5. Step 5: Solve for x
    x = 20,570,730,625/96,150
  6. Step 6: Final answer
    x = 213,944.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.