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Finding the Third Proportional to 62,208 and 95,616

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Solution

The third proportional to 62,208 and 95,616 is: 146,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,208 : 95,616 = 95,616 : x
  2. Step 2: Convert to fraction form
    62,208/95,616 = 95,616/x
  3. Step 3: Cross multiply
    62,208x = 95,616 × 95,616
  4. Step 4: Simplify right side
    62,208x = 9,142,419,456
  5. Step 5: Solve for x
    x = 9,142,419,456/62,208
  6. Step 6: Final answer
    x = 146,965.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.