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Finding the Third Proportional to 116,768.25 and 166,404.38

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Solution

The third proportional to 116,768.25 and 166,404.38 is: 237,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,768.25 : 166,404.38 = 166,404.38 : x
  2. Step 2: Convert to fraction form
    116,768.25/166,404.38 = 166,404.38/x
  3. Step 3: Cross multiply
    116,768.25x = 166,404.38 × 166,404.38
  4. Step 4: Simplify right side
    116,768.25x = 27,690,416,019.14
  5. Step 5: Solve for x
    x = 27,690,416,019.14/116,768.25
  6. Step 6: Final answer
    x = 237,139.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.