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Finding the Third Proportional to 96,507.50 and 139,225

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Solution

The third proportional to 96,507.50 and 139,225 is: 200,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,507.50 : 139,225 = 139,225 : x
  2. Step 2: Convert to fraction form
    96,507.50/139,225 = 139,225/x
  3. Step 3: Cross multiply
    96,507.50x = 139,225 × 139,225
  4. Step 4: Simplify right side
    96,507.50x = 19,383,600,625
  5. Step 5: Solve for x
    x = 19,383,600,625/96,507.50
  6. Step 6: Final answer
    x = 200,850.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.