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Finding the Third Proportional to 57,996 and 122,215.50

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Solution

The third proportional to 57,996 and 122,215.50 is: 257,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 122,215.50 = 122,215.50 : x
  2. Step 2: Convert to fraction form
    57,996/122,215.50 = 122,215.50/x
  3. Step 3: Cross multiply
    57,996x = 122,215.50 × 122,215.50
  4. Step 4: Simplify right side
    57,996x = 14,936,628,440.25
  5. Step 5: Solve for x
    x = 14,936,628,440.25/57,996
  6. Step 6: Final answer
    x = 257,545.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.