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Finding the Third Proportional to 55,775.81 and 108,749.25

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Solution

The third proportional to 55,775.81 and 108,749.25 is: 212,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,775.81 : 108,749.25 = 108,749.25 : x
  2. Step 2: Convert to fraction form
    55,775.81/108,749.25 = 108,749.25/x
  3. Step 3: Cross multiply
    55,775.81x = 108,749.25 × 108,749.25
  4. Step 4: Simplify right side
    55,775.81x = 11,826,399,375.56
  5. Step 5: Solve for x
    x = 11,826,399,375.56/55,775.81
  6. Step 6: Final answer
    x = 212,034.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.