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Finding the Third Proportional to 76,538 and 162,182

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Solution

The third proportional to 76,538 and 162,182 is: 343,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538 : 162,182 = 162,182 : x
  2. Step 2: Convert to fraction form
    76,538/162,182 = 162,182/x
  3. Step 3: Cross multiply
    76,538x = 162,182 × 162,182
  4. Step 4: Simplify right side
    76,538x = 26,303,001,124
  5. Step 5: Solve for x
    x = 26,303,001,124/76,538
  6. Step 6: Final answer
    x = 343,659.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.