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Finding the Third Proportional to 63,200.63 and 135,149.25

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Solution

The third proportional to 63,200.63 and 135,149.25 is: 289,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200.63 : 135,149.25 = 135,149.25 : x
  2. Step 2: Convert to fraction form
    63,200.63/135,149.25 = 135,149.25/x
  3. Step 3: Cross multiply
    63,200.63x = 135,149.25 × 135,149.25
  4. Step 4: Simplify right side
    63,200.63x = 18,265,319,775.56
  5. Step 5: Solve for x
    x = 18,265,319,775.56/63,200.63
  6. Step 6: Final answer
    x = 289,005.37

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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.