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Finding the Third Proportional to 76,926 and 165,354

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Solution

The third proportional to 76,926 and 165,354 is: 355,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,926 : 165,354 = 165,354 : x
  2. Step 2: Convert to fraction form
    76,926/165,354 = 165,354/x
  3. Step 3: Cross multiply
    76,926x = 165,354 × 165,354
  4. Step 4: Simplify right side
    76,926x = 27,341,945,316
  5. Step 5: Solve for x
    x = 27,341,945,316/76,926
  6. Step 6: Final answer
    x = 355,431.78

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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.