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Finding the Third Proportional to 76,634 and 165,057

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Solution

The third proportional to 76,634 and 165,057 is: 355,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634 : 165,057 = 165,057 : x
  2. Step 2: Convert to fraction form
    76,634/165,057 = 165,057/x
  3. Step 3: Cross multiply
    76,634x = 165,057 × 165,057
  4. Step 4: Simplify right side
    76,634x = 27,243,813,249
  5. Step 5: Solve for x
    x = 27,243,813,249/76,634
  6. Step 6: Final answer
    x = 355,505.56

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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.