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Finding the Third Proportional to 51,257.81 and 105,887.25

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Solution

The third proportional to 51,257.81 and 105,887.25 is: 218,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.81 : 105,887.25 = 105,887.25 : x
  2. Step 2: Convert to fraction form
    51,257.81/105,887.25 = 105,887.25/x
  3. Step 3: Cross multiply
    51,257.81x = 105,887.25 × 105,887.25
  4. Step 4: Simplify right side
    51,257.81x = 11,212,109,712.56
  5. Step 5: Solve for x
    x = 11,212,109,712.56/51,257.81
  6. Step 6: Final answer
    x = 218,739.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.