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Finding the Third Proportional to 56,027.25 and 121,388.25

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Solution

The third proportional to 56,027.25 and 121,388.25 is: 262,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,027.25 : 121,388.25 = 121,388.25 : x
  2. Step 2: Convert to fraction form
    56,027.25/121,388.25 = 121,388.25/x
  3. Step 3: Cross multiply
    56,027.25x = 121,388.25 × 121,388.25
  4. Step 4: Simplify right side
    56,027.25x = 14,735,107,238.06
  5. Step 5: Solve for x
    x = 14,735,107,238.06/56,027.25
  6. Step 6: Final answer
    x = 262,998.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.