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Finding the Third Proportional to 77,949 and 168,351.75

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Solution

The third proportional to 77,949 and 168,351.75 is: 363,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,949 : 168,351.75 = 168,351.75 : x
  2. Step 2: Convert to fraction form
    77,949/168,351.75 = 168,351.75/x
  3. Step 3: Cross multiply
    77,949x = 168,351.75 × 168,351.75
  4. Step 4: Simplify right side
    77,949x = 28,342,311,728.06
  5. Step 5: Solve for x
    x = 28,342,311,728.06/77,949
  6. Step 6: Final answer
    x = 363,600.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.