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Finding the Third Proportional to 54,773.50 and 112,143

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Solution

The third proportional to 54,773.50 and 112,143 is: 229,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,773.50 : 112,143 = 112,143 : x
  2. Step 2: Convert to fraction form
    54,773.50/112,143 = 112,143/x
  3. Step 3: Cross multiply
    54,773.50x = 112,143 × 112,143
  4. Step 4: Simplify right side
    54,773.50x = 12,576,052,449
  5. Step 5: Solve for x
    x = 12,576,052,449/54,773.50
  6. Step 6: Final answer
    x = 229,601.04

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.