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Finding the Third Proportional to 81,636 and 177,714

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Solution

The third proportional to 81,636 and 177,714 is: 386,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,636 : 177,714 = 177,714 : x
  2. Step 2: Convert to fraction form
    81,636/177,714 = 177,714/x
  3. Step 3: Cross multiply
    81,636x = 177,714 × 177,714
  4. Step 4: Simplify right side
    81,636x = 31,582,265,796
  5. Step 5: Solve for x
    x = 31,582,265,796/81,636
  6. Step 6: Final answer
    x = 386,866.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.