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Finding the Third Proportional to 76,086 and 165,020

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Solution

The third proportional to 76,086 and 165,020 is: 357,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086 : 165,020 = 165,020 : x
  2. Step 2: Convert to fraction form
    76,086/165,020 = 165,020/x
  3. Step 3: Cross multiply
    76,086x = 165,020 × 165,020
  4. Step 4: Simplify right side
    76,086x = 27,231,600,400
  5. Step 5: Solve for x
    x = 27,231,600,400/76,086
  6. Step 6: Final answer
    x = 357,905.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.