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Finding the Third Proportional to 76,764.19 and 165,192.38

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Solution

The third proportional to 76,764.19 and 165,192.38 is: 355,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764.19 : 165,192.38 = 165,192.38 : x
  2. Step 2: Convert to fraction form
    76,764.19/165,192.38 = 165,192.38/x
  3. Step 3: Cross multiply
    76,764.19x = 165,192.38 × 165,192.38
  4. Step 4: Simplify right side
    76,764.19x = 27,288,520,758.14
  5. Step 5: Solve for x
    x = 27,288,520,758.14/76,764.19
  6. Step 6: Final answer
    x = 355,485.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.