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Finding the Third Proportional to 73,660.50 and 156,084

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Solution

The third proportional to 73,660.50 and 156,084 is: 330,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,660.50 : 156,084 = 156,084 : x
  2. Step 2: Convert to fraction form
    73,660.50/156,084 = 156,084/x
  3. Step 3: Cross multiply
    73,660.50x = 156,084 × 156,084
  4. Step 4: Simplify right side
    73,660.50x = 24,362,215,056
  5. Step 5: Solve for x
    x = 24,362,215,056/73,660.50
  6. Step 6: Final answer
    x = 330,736.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.