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Finding the Third Proportional to 83,162 and 177,772

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Solution

The third proportional to 83,162 and 177,772 is: 380,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162 : 177,772 = 177,772 : x
  2. Step 2: Convert to fraction form
    83,162/177,772 = 177,772/x
  3. Step 3: Cross multiply
    83,162x = 177,772 × 177,772
  4. Step 4: Simplify right side
    83,162x = 31,602,883,984
  5. Step 5: Solve for x
    x = 31,602,883,984/83,162
  6. Step 6: Final answer
    x = 380,015.92

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Why These Related Problems?

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