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Finding the Third Proportional to 54,956 and 112,522

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Solution

The third proportional to 54,956 and 112,522 is: 230,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956 : 112,522 = 112,522 : x
  2. Step 2: Convert to fraction form
    54,956/112,522 = 112,522/x
  3. Step 3: Cross multiply
    54,956x = 112,522 × 112,522
  4. Step 4: Simplify right side
    54,956x = 12,661,200,484
  5. Step 5: Solve for x
    x = 12,661,200,484/54,956
  6. Step 6: Final answer
    x = 230,387.96

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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.