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Finding the Third Proportional to 77,163.75 and 168,467.06

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Solution

The third proportional to 77,163.75 and 168,467.06 is: 367,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163.75 : 168,467.06 = 168,467.06 : x
  2. Step 2: Convert to fraction form
    77,163.75/168,467.06 = 168,467.06/x
  3. Step 3: Cross multiply
    77,163.75x = 168,467.06 × 168,467.06
  4. Step 4: Simplify right side
    77,163.75x = 28,381,151,147.38
  5. Step 5: Solve for x
    x = 28,381,151,147.38/77,163.75
  6. Step 6: Final answer
    x = 367,804.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.