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Finding the Third Proportional to 54,072.50 and 72,330

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Solution

The third proportional to 54,072.50 and 72,330 is: 96,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072.50 : 72,330 = 72,330 : x
  2. Step 2: Convert to fraction form
    54,072.50/72,330 = 72,330/x
  3. Step 3: Cross multiply
    54,072.50x = 72,330 × 72,330
  4. Step 4: Simplify right side
    54,072.50x = 5,231,628,900
  5. Step 5: Solve for x
    x = 5,231,628,900/54,072.50
  6. Step 6: Final answer
    x = 96,752.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.