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Finding the Third Proportional to 82,902.75 and 177,634.88

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Solution

The third proportional to 82,902.75 and 177,634.88 is: 380,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.75 : 177,634.88 = 177,634.88 : x
  2. Step 2: Convert to fraction form
    82,902.75/177,634.88 = 177,634.88/x
  3. Step 3: Cross multiply
    82,902.75x = 177,634.88 × 177,634.88
  4. Step 4: Simplify right side
    82,902.75x = 31,554,148,816.27
  5. Step 5: Solve for x
    x = 31,554,148,816.27/82,902.75
  6. Step 6: Final answer
    x = 380,616.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.