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Finding the Third Proportional to 61,238.50 and 131,225

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Solution

The third proportional to 61,238.50 and 131,225 is: 281,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,238.50 : 131,225 = 131,225 : x
  2. Step 2: Convert to fraction form
    61,238.50/131,225 = 131,225/x
  3. Step 3: Cross multiply
    61,238.50x = 131,225 × 131,225
  4. Step 4: Simplify right side
    61,238.50x = 17,220,000,625
  5. Step 5: Solve for x
    x = 17,220,000,625/61,238.50
  6. Step 6: Final answer
    x = 281,195.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.