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Finding the Third Proportional to 62,951.63 and 135,221.06

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Solution

The third proportional to 62,951.63 and 135,221.06 is: 290,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,951.63 : 135,221.06 = 135,221.06 : x
  2. Step 2: Convert to fraction form
    62,951.63/135,221.06 = 135,221.06/x
  3. Step 3: Cross multiply
    62,951.63x = 135,221.06 × 135,221.06
  4. Step 4: Simplify right side
    62,951.63x = 18,284,735,743.63
  5. Step 5: Solve for x
    x = 18,284,735,743.63/62,951.63
  6. Step 6: Final answer
    x = 290,456.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.