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Finding the Third Proportional to 58,296 and 125,511.75

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Solution

The third proportional to 58,296 and 125,511.75 is: 270,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296 : 125,511.75 = 125,511.75 : x
  2. Step 2: Convert to fraction form
    58,296/125,511.75 = 125,511.75/x
  3. Step 3: Cross multiply
    58,296x = 125,511.75 × 125,511.75
  4. Step 4: Simplify right side
    58,296x = 15,753,199,388.06
  5. Step 5: Solve for x
    x = 15,753,199,388.06/58,296
  6. Step 6: Final answer
    x = 270,227.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.