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Finding the Third Proportional to 63,701.44 and 133,599.38

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Solution

The third proportional to 63,701.44 and 133,599.38 is: 280,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,701.44 : 133,599.38 = 133,599.38 : x
  2. Step 2: Convert to fraction form
    63,701.44/133,599.38 = 133,599.38/x
  3. Step 3: Cross multiply
    63,701.44x = 133,599.38 × 133,599.38
  4. Step 4: Simplify right side
    63,701.44x = 17,848,793,000.39
  5. Step 5: Solve for x
    x = 17,848,793,000.39/63,701.44
  6. Step 6: Final answer
    x = 280,194.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.