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Finding the Third Proportional to 63,242.44 and 135,450.56

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Solution

The third proportional to 63,242.44 and 135,450.56 is: 290,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,242.44 : 135,450.56 = 135,450.56 : x
  2. Step 2: Convert to fraction form
    63,242.44/135,450.56 = 135,450.56/x
  3. Step 3: Cross multiply
    63,242.44x = 135,450.56 × 135,450.56
  4. Step 4: Simplify right side
    63,242.44x = 18,346,854,881.57
  5. Step 5: Solve for x
    x = 18,346,854,881.57/63,242.44
  6. Step 6: Final answer
    x = 290,103.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.