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Finding the Third Proportional to 54,607.50 and 119,732.25

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Solution

The third proportional to 54,607.50 and 119,732.25 is: 262,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,607.50 : 119,732.25 = 119,732.25 : x
  2. Step 2: Convert to fraction form
    54,607.50/119,732.25 = 119,732.25/x
  3. Step 3: Cross multiply
    54,607.50x = 119,732.25 × 119,732.25
  4. Step 4: Simplify right side
    54,607.50x = 14,335,811,690.06
  5. Step 5: Solve for x
    x = 14,335,811,690.06/54,607.50
  6. Step 6: Final answer
    x = 262,524.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.