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Finding the Third Proportional to 94,562 and 193,444

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Solution

The third proportional to 94,562 and 193,444 is: 395,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,562 : 193,444 = 193,444 : x
  2. Step 2: Convert to fraction form
    94,562/193,444 = 193,444/x
  3. Step 3: Cross multiply
    94,562x = 193,444 × 193,444
  4. Step 4: Simplify right side
    94,562x = 37,420,581,136
  5. Step 5: Solve for x
    x = 37,420,581,136/94,562
  6. Step 6: Final answer
    x = 395,725.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.