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Finding the Third Proportional to 72,964.50 and 108,474

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Solution

The third proportional to 72,964.50 and 108,474 is: 161,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.50 : 108,474 = 108,474 : x
  2. Step 2: Convert to fraction form
    72,964.50/108,474 = 108,474/x
  3. Step 3: Cross multiply
    72,964.50x = 108,474 × 108,474
  4. Step 4: Simplify right side
    72,964.50x = 11,766,608,676
  5. Step 5: Solve for x
    x = 11,766,608,676/72,964.50
  6. Step 6: Final answer
    x = 161,264.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.