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Finding the Third Proportional to 62,272.50 and 135,016.50

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Solution

The third proportional to 62,272.50 and 135,016.50 is: 292,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,272.50 : 135,016.50 = 135,016.50 : x
  2. Step 2: Convert to fraction form
    62,272.50/135,016.50 = 135,016.50/x
  3. Step 3: Cross multiply
    62,272.50x = 135,016.50 × 135,016.50
  4. Step 4: Simplify right side
    62,272.50x = 18,229,455,272.25
  5. Step 5: Solve for x
    x = 18,229,455,272.25/62,272.50
  6. Step 6: Final answer
    x = 292,736.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.