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Finding the Third Proportional to 76,968 and 165,396.38

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Solution

The third proportional to 76,968 and 165,396.38 is: 355,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968 : 165,396.38 = 165,396.38 : x
  2. Step 2: Convert to fraction form
    76,968/165,396.38 = 165,396.38/x
  3. Step 3: Cross multiply
    76,968x = 165,396.38 × 165,396.38
  4. Step 4: Simplify right side
    76,968x = 27,355,960,863.14
  5. Step 5: Solve for x
    x = 27,355,960,863.14/76,968
  6. Step 6: Final answer
    x = 355,419.93

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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.