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Finding the Third Proportional to 54,885.38 and 114,077.25

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Solution

The third proportional to 54,885.38 and 114,077.25 is: 237,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,885.38 : 114,077.25 = 114,077.25 : x
  2. Step 2: Convert to fraction form
    54,885.38/114,077.25 = 114,077.25/x
  3. Step 3: Cross multiply
    54,885.38x = 114,077.25 × 114,077.25
  4. Step 4: Simplify right side
    54,885.38x = 13,013,618,967.56
  5. Step 5: Solve for x
    x = 13,013,618,967.56/54,885.38
  6. Step 6: Final answer
    x = 237,105.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.