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Finding the Third Proportional to 82,901.60 and 177,631.73

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Solution

The third proportional to 82,901.60 and 177,631.73 is: 380,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,901.60 : 177,631.73 = 177,631.73 : x
  2. Step 2: Convert to fraction form
    82,901.60/177,631.73 = 177,631.73/x
  3. Step 3: Cross multiply
    82,901.60x = 177,631.73 × 177,631.73
  4. Step 4: Simplify right side
    82,901.60x = 31,553,033,057.07
  5. Step 5: Solve for x
    x = 31,553,033,057.07/82,901.60
  6. Step 6: Final answer
    x = 380,608.24

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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.