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Finding the Third Proportional to 82,362 and 177,546

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Solution

The third proportional to 82,362 and 177,546 is: 382,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,362 : 177,546 = 177,546 : x
  2. Step 2: Convert to fraction form
    82,362/177,546 = 177,546/x
  3. Step 3: Cross multiply
    82,362x = 177,546 × 177,546
  4. Step 4: Simplify right side
    82,362x = 31,522,582,116
  5. Step 5: Solve for x
    x = 31,522,582,116/82,362
  6. Step 6: Final answer
    x = 382,732.11

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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.