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Finding the Third Proportional to 92,972.50 and 203,225

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Solution

The third proportional to 92,972.50 and 203,225 is: 444,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,972.50 : 203,225 = 203,225 : x
  2. Step 2: Convert to fraction form
    92,972.50/203,225 = 203,225/x
  3. Step 3: Cross multiply
    92,972.50x = 203,225 × 203,225
  4. Step 4: Simplify right side
    92,972.50x = 41,300,400,625
  5. Step 5: Solve for x
    x = 41,300,400,625/92,972.50
  6. Step 6: Final answer
    x = 444,221.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.