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Finding the Third Proportional to 76,669 and 179,086

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Solution

The third proportional to 76,669 and 179,086 is: 418,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669 : 179,086 = 179,086 : x
  2. Step 2: Convert to fraction form
    76,669/179,086 = 179,086/x
  3. Step 3: Cross multiply
    76,669x = 179,086 × 179,086
  4. Step 4: Simplify right side
    76,669x = 32,071,795,396
  5. Step 5: Solve for x
    x = 32,071,795,396/76,669
  6. Step 6: Final answer
    x = 418,315.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.