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Finding the Third Proportional to 75,613 and 165,966

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Solution

The third proportional to 75,613 and 165,966 is: 364,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613 : 165,966 = 165,966 : x
  2. Step 2: Convert to fraction form
    75,613/165,966 = 165,966/x
  3. Step 3: Cross multiply
    75,613x = 165,966 × 165,966
  4. Step 4: Simplify right side
    75,613x = 27,544,713,156
  5. Step 5: Solve for x
    x = 27,544,713,156/75,613
  6. Step 6: Final answer
    x = 364,285.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.