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Finding the Third Proportional to 61,238.25 and 131,224.50

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Solution

The third proportional to 61,238.25 and 131,224.50 is: 281,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,238.25 : 131,224.50 = 131,224.50 : x
  2. Step 2: Convert to fraction form
    61,238.25/131,224.50 = 131,224.50/x
  3. Step 3: Cross multiply
    61,238.25x = 131,224.50 × 131,224.50
  4. Step 4: Simplify right side
    61,238.25x = 17,219,869,400.25
  5. Step 5: Solve for x
    x = 17,219,869,400.25/61,238.25
  6. Step 6: Final answer
    x = 281,194.67

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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.