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Finding the Third Proportional to 57,762.75 and 116,383.50

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Solution

The third proportional to 57,762.75 and 116,383.50 is: 234,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.75 : 116,383.50 = 116,383.50 : x
  2. Step 2: Convert to fraction form
    57,762.75/116,383.50 = 116,383.50/x
  3. Step 3: Cross multiply
    57,762.75x = 116,383.50 × 116,383.50
  4. Step 4: Simplify right side
    57,762.75x = 13,545,119,072.25
  5. Step 5: Solve for x
    x = 13,545,119,072.25/57,762.75
  6. Step 6: Final answer
    x = 234,495.74

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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.