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Finding the Third Proportional to 82,744 and 178,611

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Solution

The third proportional to 82,744 and 178,611 is: 385,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744 : 178,611 = 178,611 : x
  2. Step 2: Convert to fraction form
    82,744/178,611 = 178,611/x
  3. Step 3: Cross multiply
    82,744x = 178,611 × 178,611
  4. Step 4: Simplify right side
    82,744x = 31,901,889,321
  5. Step 5: Solve for x
    x = 31,901,889,321/82,744
  6. Step 6: Final answer
    x = 385,549.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.