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Finding the Third Proportional to 52,225.31 and 113,805.56

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Solution

The third proportional to 52,225.31 and 113,805.56 is: 247,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,225.31 : 113,805.56 = 113,805.56 : x
  2. Step 2: Convert to fraction form
    52,225.31/113,805.56 = 113,805.56/x
  3. Step 3: Cross multiply
    52,225.31x = 113,805.56 × 113,805.56
  4. Step 4: Simplify right side
    52,225.31x = 12,951,706,055.94
  5. Step 5: Solve for x
    x = 12,951,706,055.94/52,225.31
  6. Step 6: Final answer
    x = 247,996.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.