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Finding the Third Proportional to 39,969 and 85,768.50

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Solution

The third proportional to 39,969 and 85,768.50 is: 184,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 85,768.50 = 85,768.50 : x
  2. Step 2: Convert to fraction form
    39,969/85,768.50 = 85,768.50/x
  3. Step 3: Cross multiply
    39,969x = 85,768.50 × 85,768.50
  4. Step 4: Simplify right side
    39,969x = 7,356,235,592.25
  5. Step 5: Solve for x
    x = 7,356,235,592.25/39,969
  6. Step 6: Final answer
    x = 184,048.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.