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Finding the Third Proportional to 91,982.14 and 134,944.73

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Solution

The third proportional to 91,982.14 and 134,944.73 is: 197,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,982.14 : 134,944.73 = 134,944.73 : x
  2. Step 2: Convert to fraction form
    91,982.14/134,944.73 = 134,944.73/x
  3. Step 3: Cross multiply
    91,982.14x = 134,944.73 × 134,944.73
  4. Step 4: Simplify right side
    91,982.14x = 18,210,081,335.54
  5. Step 5: Solve for x
    x = 18,210,081,335.54/91,982.14
  6. Step 6: Final answer
    x = 197,974.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.