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Finding the Third Proportional to 62,101.69 and 135,072.56

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Solution

The third proportional to 62,101.69 and 135,072.56 is: 293,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,101.69 : 135,072.56 = 135,072.56 : x
  2. Step 2: Convert to fraction form
    62,101.69/135,072.56 = 135,072.56/x
  3. Step 3: Cross multiply
    62,101.69x = 135,072.56 × 135,072.56
  4. Step 4: Simplify right side
    62,101.69x = 18,244,597,140.32
  5. Step 5: Solve for x
    x = 18,244,597,140.32/62,101.69
  6. Step 6: Final answer
    x = 293,785.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.