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Finding the Third Proportional to 54,961.88 and 112,836.38

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Solution

The third proportional to 54,961.88 and 112,836.38 is: 231,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,961.88 : 112,836.38 = 112,836.38 : x
  2. Step 2: Convert to fraction form
    54,961.88/112,836.38 = 112,836.38/x
  3. Step 3: Cross multiply
    54,961.88x = 112,836.38 × 112,836.38
  4. Step 4: Simplify right side
    54,961.88x = 12,732,047,523.14
  5. Step 5: Solve for x
    x = 12,732,047,523.14/54,961.88
  6. Step 6: Final answer
    x = 231,652.35

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Why These Related Problems?

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