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Finding the Third Proportional to 81,206 and 177,169

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Solution

The third proportional to 81,206 and 177,169 is: 386,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,206 : 177,169 = 177,169 : x
  2. Step 2: Convert to fraction form
    81,206/177,169 = 177,169/x
  3. Step 3: Cross multiply
    81,206x = 177,169 × 177,169
  4. Step 4: Simplify right side
    81,206x = 31,388,854,561
  5. Step 5: Solve for x
    x = 31,388,854,561/81,206
  6. Step 6: Final answer
    x = 386,533.69

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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.