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Finding the Third Proportional to 72,796.50 and 113,082.75

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Solution

The third proportional to 72,796.50 and 113,082.75 is: 175,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.50 : 113,082.75 = 113,082.75 : x
  2. Step 2: Convert to fraction form
    72,796.50/113,082.75 = 113,082.75/x
  3. Step 3: Cross multiply
    72,796.50x = 113,082.75 × 113,082.75
  4. Step 4: Simplify right side
    72,796.50x = 12,787,708,347.56
  5. Step 5: Solve for x
    x = 12,787,708,347.56/72,796.50
  6. Step 6: Final answer
    x = 175,663.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.