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Finding the Third Proportional to 62,656 and 146,204

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Solution

The third proportional to 62,656 and 146,204 is: 341,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,656 : 146,204 = 146,204 : x
  2. Step 2: Convert to fraction form
    62,656/146,204 = 146,204/x
  3. Step 3: Cross multiply
    62,656x = 146,204 × 146,204
  4. Step 4: Simplify right side
    62,656x = 21,375,609,616
  5. Step 5: Solve for x
    x = 21,375,609,616/62,656
  6. Step 6: Final answer
    x = 341,158.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.