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Finding the Third Proportional to 54,863.50 and 73,410

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Solution

The third proportional to 54,863.50 and 73,410 is: 98,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.50 : 73,410 = 73,410 : x
  2. Step 2: Convert to fraction form
    54,863.50/73,410 = 73,410/x
  3. Step 3: Cross multiply
    54,863.50x = 73,410 × 73,410
  4. Step 4: Simplify right side
    54,863.50x = 5,389,028,100
  5. Step 5: Solve for x
    x = 5,389,028,100/54,863.50
  6. Step 6: Final answer
    x = 98,226.11

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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.