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Finding the Third Proportional to 81,954 and 177,030

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Solution

The third proportional to 81,954 and 177,030 is: 382,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,954 : 177,030 = 177,030 : x
  2. Step 2: Convert to fraction form
    81,954/177,030 = 177,030/x
  3. Step 3: Cross multiply
    81,954x = 177,030 × 177,030
  4. Step 4: Simplify right side
    81,954x = 31,339,620,900
  5. Step 5: Solve for x
    x = 31,339,620,900/81,954
  6. Step 6: Final answer
    x = 382,405.02

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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.