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Finding the Third Proportional to 91,768.50 and 123,504.75

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Solution

The third proportional to 91,768.50 and 123,504.75 is: 166,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,768.50 : 123,504.75 = 123,504.75 : x
  2. Step 2: Convert to fraction form
    91,768.50/123,504.75 = 123,504.75/x
  3. Step 3: Cross multiply
    91,768.50x = 123,504.75 × 123,504.75
  4. Step 4: Simplify right side
    91,768.50x = 15,253,423,272.56
  5. Step 5: Solve for x
    x = 15,253,423,272.56/91,768.50
  6. Step 6: Final answer
    x = 166,216.33

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.