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Finding the Third Proportional to 93,570 and 192,642

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Solution

The third proportional to 93,570 and 192,642 is: 396,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,570 : 192,642 = 192,642 : x
  2. Step 2: Convert to fraction form
    93,570/192,642 = 192,642/x
  3. Step 3: Cross multiply
    93,570x = 192,642 × 192,642
  4. Step 4: Simplify right side
    93,570x = 37,110,940,164
  5. Step 5: Solve for x
    x = 37,110,940,164/93,570
  6. Step 6: Final answer
    x = 396,611.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.